10110002102100 has 144 divisors (see below), whose sum is σ = 32504459581440. Its totient is φ = 2695778668800.

The previous prime is 10110002102059. The next prime is 10110002102129. The reversal of 10110002102100 is 120120001101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34063944 + ... + 34359456.

It is an arithmetic number, because the mean of its divisors is an integer number (225725413760).

Almost surely, 2^{10110002102100} is an apocalyptic number.

10110002102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110002102100 is an abundant number, since it is smaller than the sum of its proper divisors (22394457479340).

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

10110002102100 is a wasteful number, since it uses less digits than its factorization.

10110002102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308207 (or 308194 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10110002102100 its reverse (120120001101), we get a palindrome (10230122103201).

The spelling of 10110002102100 in words is "ten trillion, one hundred ten billion, two million, one hundred two thousand, one hundred".