10110021110100 has 144 divisors (see below), whose sum is σ = 32502909680640. Its totient is φ = 2695917369600.

The previous prime is 10110021110039. The next prime is 10110021110107. The reversal of 10110021110100 is 101112001101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110021110107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156003304 + ... + 156068096.

It is an arithmetic number, because the mean of its divisors is an integer number (225714650560).

Almost surely, 2^{10110021110100} is an apocalyptic number.

10110021110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110021110100 is an abundant number, since it is smaller than the sum of its proper divisors (22392888570540).

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

10110021110100 is a wasteful number, since it uses less digits than its factorization.

10110021110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122607 (or 122594 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10110021110100 its reverse (101112001101), we get a palindrome (10211133111201).

The spelling of 10110021110100 in words is "ten trillion, one hundred ten billion, twenty-one million, one hundred ten thousand, one hundred".