101011122211100 has 36 divisors (see below), whose sum is σ = 232087907860704. Its totient is φ = 38027716596480.

The previous prime is 101011122211091. The next prime is 101011122211121. The reversal of 101011122211100 is 1112221110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29709151892 + ... + 29709155291.

It is an arithmetic number, because the mean of its divisors is an integer number (6446886329464).

Almost surely, 2^{101011122211100} is an apocalyptic number.

101011122211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011122211100 is an abundant number, since it is smaller than the sum of its proper divisors (131076785649604).

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

101011122211100 is a wasteful number, since it uses less digits than its factorization.

101011122211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59418307214 (or 59418307207 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011122211100 its reverse (1112221110101), we get a palindrome (102123343321201).

The spelling of 101011122211100 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, two hundred eleven thousand, one hundred".