10122121200100 has 72 divisors (see below), whose sum is σ = 27033849875648. Its totient is φ = 3203484508800.

The previous prime is 10122121200097. The next prime is 10122121200109. The reversal of 10122121200100 is 100212122101.

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

It is not an unprimeable number, because it can be changed into a prime (10122121200109) 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, 556151406 + ... + 556169605.

Almost surely, 2^{10122121200100} is an apocalyptic number.

10122121200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122121200100 is an abundant number, since it is smaller than the sum of its proper divisors (16911728675548).

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

10122121200100 is a wasteful number, since it uses less digits than its factorization.

10122121200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112321045 (or 1112321038 counting only the distinct ones).

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

Adding to 10122121200100 its reverse (100212122101), we get a palindrome (10222333322201).

The spelling of 10122121200100 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred thousand, one hundred".