100010100100000 has 144 divisors (see below), whose sum is σ = 246175927232256. Its totient is φ = 39992162080000.

The previous prime is 100010100099961. The next prime is 100010100100013. The reversal of 100010100100000 is 1001010001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340553229 + ... + 340846771.

It is an arithmetic number, because the mean of its divisors is an integer number (1709555050224).

Almost surely, 2^{100010100100000} is an apocalyptic number.

100010100100000 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 100010100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123087963616128).

100010100100000 is an abundant number, since it is smaller than the sum of its proper divisors (146165827132256).

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

100010100100000 is an frugal number, since it uses more digits than its factorization.

100010100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296985 (or 296957 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100010100100000 its reverse (1001010001), we get a palindrome (100011101110001).

The spelling of 100010100100000 in words is "one hundred trillion, ten billion, one hundred million, one hundred thousand".