101022122011100 has 72 divisors (see below), whose sum is σ = 225255729877248. Its totient is φ = 39306453336000.

The previous prime is 101022122011099. The next prime is 101022122011141. The reversal of 101022122011100 is 1110221220101.

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, 65166626 + ... + 66698825.

Almost surely, 2^{101022122011100} is an apocalyptic number.

101022122011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022122011100 is an abundant number, since it is smaller than the sum of its proper divisors (124233607866148).

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

101022122011100 is a wasteful number, since it uses less digits than its factorization.

101022122011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131865675 (or 131865668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022122011100 its reverse (1110221220101), we get a palindrome (102132343231201).

The spelling of 101022122011100 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, eleven thousand, one hundred".