10010010121100 has 72 divisors (see below), whose sum is σ = 23931042284016. Its totient is φ = 3603964000000.

The previous prime is 10010010120983. The next prime is 10010010121103. The reversal of 10010010121100 is 112101001001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10010010121103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44938451 + ... + 45160650.

It is an arithmetic number, because the mean of its divisors is an integer number (332375587278).

Almost surely, 2^{10010010121100} is an apocalyptic number.

10010010121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010010121100 is an abundant number, since it is smaller than the sum of its proper divisors (13921032162916).

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

10010010121100 is a wasteful number, since it uses less digits than its factorization.

10010010121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90099227 (or 90099220 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010010121100 its reverse (112101001001), we get a palindrome (10122111122101).

The spelling of 10010010121100 in words is "ten trillion, ten billion, ten million, one hundred twenty-one thousand, one hundred".