101001221022100 has 72 divisors (see below), whose sum is σ = 259120373984640. Its totient is φ = 33434886952320.

The previous prime is 101001221022067. The next prime is 101001221022301. The reversal of 101001221022100 is 1220122100101.

It is a congruent number.

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, 2487694504 + ... + 2487735103.

It is an arithmetic number, because the mean of its divisors is an integer number (3598894083120).

Almost surely, 2^{101001221022100} is an apocalyptic number.

101001221022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001221022100 is an abundant number, since it is smaller than the sum of its proper divisors (158119152962540).

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

101001221022100 is a wasteful number, since it uses less digits than its factorization.

101001221022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975429657 (or 4975429650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101001221022100 its reverse (1220122100101), we get a palindrome (102221343122201).

The spelling of 101001221022100 in words is "one hundred one trillion, one billion, two hundred twenty-one million, twenty-two thousand, one hundred".