101213121100 has 108 divisors (see below), whose sum is σ = 275144150064. Its totient is φ = 32032264320.

The previous prime is 101213121029. The next prime is 101213121131. The reversal of 101213121100 is 1121312101.

It is a happy number.

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

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 35 ways as a sum of consecutive naturals, for example, 730752 + ... + 858151.

Almost surely, 2^101213121100 is an apocalyptic number.

101213121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213121100 is an abundant number, since it is smaller than the sum of its proper divisors (173931028964).

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

101213121100 is a wasteful number, since it uses less digits than its factorization.

101213121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588944 (or 1588930 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101213121100 its reverse (1121312101), we get a palindrome (102334433201).

The spelling of 101213121100 in words is "one hundred one billion, two hundred thirteen million, one hundred twenty-one thousand, one hundred".