10110010109100 has 288 divisors, whose sum is σ = 32239536537600. Its totient is φ = 2425797792000.

The previous prime is 10110010109093. The next prime is 10110010109117. The reversal of 10110010109100 is 190101001101.

It is a super-2 number, since 2×10110010109100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10110010109100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125389399 + ... + 125470001.

It is an arithmetic number, because the mean of its divisors is an integer number (111942835200).

Almost surely, 2^{10110010109100} is an apocalyptic number.

10110010109100 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 10110010109100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16119768268800).

10110010109100 is an abundant number, since it is smaller than the sum of its proper divisors (22129526428500).

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

10110010109100 is a wasteful number, since it uses less digits than its factorization.

10110010109100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81021 (or 81014 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 10110010109100 in words is "ten trillion, one hundred ten billion, ten million, one hundred nine thousand, one hundred".