101011110100000 has 216 divisors, whose sum is σ = 249314228375940. Its totient is φ = 40283202240000.

The previous prime is 101011110099989. The next prime is 101011110100031. The reversal of 101011110100000 is 1011110101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2218085976976 + 98793024123024 = 1489324^2 + 9939468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12040895806 + ... + 12040904194.

Almost surely, 2^{101011110100000} is an apocalyptic number.

101011110100000 is a gapful number since it is divisible by the number (10) 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 101011110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124657114187970).

101011110100000 is an abundant number, since it is smaller than the sum of its proper divisors (148303118275940).

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

101011110100000 is an frugal number, since it uses more digits than its factorization.

101011110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9118 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011110100000 its reverse (1011110101), we get a palindrome (101012121210101).

The spelling of 101011110100000 in words is "one hundred one trillion, eleven billion, one hundred ten million, one hundred thousand".