101001122211200 has 96 divisors (see below), whose sum is σ = 251836151778360. Its totient is φ = 40022874460160.

The previous prime is 101001122211179. The next prime is 101001122211211. The reversal of 101001122211200 is 2112221100101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147147557 + ... + 147832356.

Almost surely, 2^{101001122211200} is an apocalyptic number.

101001122211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001122211200 is an abundant number, since it is smaller than the sum of its proper divisors (150835029567160).

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

101001122211200 is a wasteful number, since it uses less digits than its factorization.

101001122211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294980044 (or 294980027 counting only the distinct ones).

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

Adding to 101001122211200 its reverse (2112221100101), we get a palindrome (103113343311301).

The spelling of 101001122211200 in words is "one hundred one trillion, one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred".