10121101112100 has 144 divisors (see below), whose sum is σ = 32809277946816. Its totient is φ = 2387286720000.

The previous prime is 10121101112041. The next prime is 10121101112117. The reversal of 10121101112100 is 121110112101.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41323851 + ... + 41568050.

It is an arithmetic number, because the mean of its divisors is an integer number (227842207964).

Almost surely, 2^{10121101112100} is an apocalyptic number.

10121101112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121101112100 is an abundant number, since it is smaller than the sum of its proper divisors (22688176834716).

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

10121101112100 is a wasteful number, since it uses less digits than its factorization.

10121101112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82891966 (or 82891959 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121101112100 its reverse (121110112101), we get a palindrome (10242211224201).

Subtracting from 10121101112100 its reverse (121110112101), we obtain a palindrome (9999990999999).

It can be divided in two parts, 10121101 and 112100, that added together give a palindrome (10233201).

The spelling of 10121101112100 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred".