101122010212100 has 18 divisors (see below), whose sum is σ = 219434762160474. Its totient is φ = 40448804084800.

The previous prime is 101122010212061. The next prime is 101122010212109. The reversal of 101122010212100 is 1212010221101.

It can be written as a sum of positive squares in 3 ways, for example, as 2721919230976 + 98400090981124 = 1649824^2 + 9919682^2 .

It is not an unprimeable number, because it can be changed into a prime (101122010212109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505610050961 + ... + 505610051160.

Almost surely, 2^{101122010212100} is an apocalyptic number.

101122010212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122010212100 is an abundant number, since it is smaller than the sum of its proper divisors (118312751948374).

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

101122010212100 is a wasteful number, since it uses less digits than its factorization.

101122010212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011220102135 (or 1011220102128 counting only the distinct ones).

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

Adding to 101122010212100 its reverse (1212010221101), we get a palindrome (102334020433201).

Subtracting from 101122010212100 its reverse (1212010221101), we obtain a palindrome (99909999990999).

The spelling of 101122010212100 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, two hundred twelve thousand, one hundred".