101220202120100 has 72 divisors (see below), whose sum is σ = 251064892985088. Its totient is φ = 34698706387200.

The previous prime is 101220202120087. The next prime is 101220202120123. The reversal of 101220202120100 is 1021202022101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6638396 + ... + 15700595.

Almost surely, 2^{101220202120100} is an apocalyptic number.

101220202120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220202120100 is an abundant number, since it is smaller than the sum of its proper divisors (149844690864988).

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

101220202120100 is a wasteful number, since it uses less digits than its factorization.

101220202120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345485 (or 22345478 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101220202120100 its reverse (1021202022101), we get a palindrome (102241404142201).

The spelling of 101220202120100 in words is "one hundred one trillion, two hundred twenty billion, two hundred two million, one hundred twenty thousand, one hundred".