10110021032100 has 432 divisors, whose sum is σ = 33543111603456. Its totient is φ = 2331037632000.

The previous prime is 10110021031991. The next prime is 10110021032131. The reversal of 10110021032100 is 123012001101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 185917915 + ... + 185972285.

Almost surely, 2^{10110021032100} is an apocalyptic number.

10110021032100 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 10110021032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771555801728).

10110021032100 is an abundant number, since it is smaller than the sum of its proper divisors (23433090571356).

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

10110021032100 is a wasteful number, since it uses less digits than its factorization.

10110021032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54524 (or 54488 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10110021032100 its reverse (123012001101), we get a palindrome (10233033033201).

The spelling of 10110021032100 in words is "ten trillion, one hundred ten billion, twenty-one million, thirty-two thousand, one hundred".