102011991750144 has 3840 divisors, whose sum is σ = 402038017920000. Its totient is φ = 25339107999744.

The previous prime is 102011991750133. The next prime is 102011991750169. The reversal of 102011991750144 is 441057199110201.

102011991750144 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 1 + 99 + 17 + 501 + 44 = 666.

It is a super-2 number, since 2×102011991750144² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102011991750144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1146202154452 + ... + 1146202154540.

It is an arithmetic number, because the mean of its divisors is an integer number (104697400500).

Almost surely, 2^{102011991750144} is an apocalyptic number.

102011991750144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011991750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201019008960000).

102011991750144 is an abundant number, since it is smaller than the sum of its proper divisors (300026026169856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102011991750144 is a wasteful number, since it uses less digits than its factorization.

102011991750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 102011991750144 in words is "one hundred two trillion, eleven billion, nine hundred ninety-one million, seven hundred fifty thousand, one hundred forty-four".