10010122112100 has 144 divisors (see below), whose sum is σ = 31772098955520. Its totient is φ = 2413139164800.

The previous prime is 10010122112099. The next prime is 10010122112101. The reversal of 10010122112100 is 121122101001.

It is an interprime number because it is at equal distance from previous prime (10010122112099) and next prime (10010122112101).

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

It is not an unprimeable number, because it can be changed into a prime (10010122112101) 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, 7882402 + ... + 9063801.

It is an arithmetic number, because the mean of its divisors is an integer number (220639576080).

Almost surely, 2^{10010122112100} is an apocalyptic number.

10010122112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010122112100 is an abundant number, since it is smaller than the sum of its proper divisors (21761976843420).

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

10010122112100 is a wasteful number, since it uses less digits than its factorization.

10010122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16946410 (or 16946403 counting only the distinct ones).

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

Adding to 10010122112100 its reverse (121122101001), we get a palindrome (10131244213101).

The spelling of 10010122112100 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".