10122110202100 has 72 divisors (see below), whose sum is σ = 23659615652960. Its totient is φ = 3736600951680.

The previous prime is 10122110202089. The next prime is 10122110202103. The reversal of 10122110202100 is 120201122101.

It is a super-2 number, since 2×10122110202100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122110202103) 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, 5315611 + ... + 6964189.

Almost surely, 2^{10122110202100} is an apocalyptic number.

10122110202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122110202100 is an abundant number, since it is smaller than the sum of its proper divisors (13537505450860).

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

10122110202100 is a wasteful number, since it uses less digits than its factorization.

10122110202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653329 (or 1653322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122110202100 its reverse (120201122101), we get a palindrome (10242311324201).

The spelling of 10122110202100 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, two hundred two thousand, one hundred".