101224210120 has 48 divisors (see below), whose sum is σ = 250341705180. Its totient is φ = 36808801920.

The previous prime is 101224210103. The next prime is 101224210147. The reversal of 101224210120 is 21012422101.

It can be written as a sum of positive squares in 2 ways, for example, as 91652718564 + 9571491556 = 302742^2 + 97834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101224210094 and 101224210103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10452207 + ... + 10461886.

Almost surely, 2^101224210120 is an apocalyptic number.

101224210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101224210120 is an abundant number, since it is smaller than the sum of its proper divisors (149117495060).

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

101224210120 is a wasteful number, since it uses less digits than its factorization.

101224210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20914126 (or 20914111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101224210120 its reverse (21012422101), we get a palindrome (122236632221).

The spelling of 101224210120 in words is "one hundred one billion, two hundred twenty-four million, two hundred ten thousand, one hundred twenty".