101202022210100 has 72 divisors (see below), whose sum is σ = 250982935730688. Its totient is φ = 34697570659200.

The previous prime is 101202022210031. The next prime is 101202022210151. The reversal of 101202022210100 is 1012220202101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105496214 + ... + 106451186.

Almost surely, 2^{101202022210100} is an apocalyptic number.

101202022210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202022210100 is an abundant number, since it is smaller than the sum of its proper divisors (149780913520588).

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

101202022210100 is a wasteful number, since it uses less digits than its factorization.

101202022210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106385 (or 1106378 counting only the distinct ones).

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

Adding to 101202022210100 its reverse (1012220202101), we get a palindrome (102214242412201).

The spelling of 101202022210100 in words is "one hundred one trillion, two hundred two billion, twenty-two million, two hundred ten thousand, one hundred".