101121212100 has 72 divisors (see below), whose sum is σ = 292612535488. Its totient is φ = 26962416000.

The previous prime is 101121212077. The next prime is 101121212111. The reversal of 101121212100 is 1212121101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495897 + ... + 3524703.

Almost surely, 2^101121212100 is an apocalyptic number.

101121212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121212100 is an abundant number, since it is smaller than the sum of its proper divisors (191491323388).

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

101121212100 is a wasteful number, since it uses less digits than its factorization.

101121212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40525 (or 40518 counting only the distinct ones).

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

Adding to 101121212100 its reverse (1212121101), we get a palindrome (102333333201).

Subtracting from 101121212100 its reverse (1212121101), we obtain a palindrome (99909090999).

The spelling of 101121212100 in words is "one hundred one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".