10110012212100 has 288 divisors, whose sum is σ = 31682200681600. Its totient is φ = 2480456908800.

The previous prime is 10110012212099. The next prime is 10110012212143. The reversal of 10110012212100 is 121221001101.

It is a super-2 number, since 2×10110012212100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114052596 + ... + 114141204.

Almost surely, 2^{10110012212100} is an apocalyptic number.

10110012212100 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 10110012212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15841100340800).

10110012212100 is an abundant number, since it is smaller than the sum of its proper divisors (21572188469500).

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

10110012212100 is a wasteful number, since it uses less digits than its factorization.

10110012212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89223 (or 89216 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10110012212100 its reverse (121221001101), we get a palindrome (10231233213201).

The spelling of 10110012212100 in words is "ten trillion, one hundred ten billion, twelve million, two hundred twelve thousand, one hundred".