101012221122012 has 36 divisors (see below), whose sum is σ = 256481454349120. Its totient is φ = 33519750504192.

The previous prime is 101012221121971. The next prime is 101012221122031. The reversal of 101012221122012 is 210221122210101.

101012221122012 is a `hidden beast` number, since 101 + 0 + 122 + 211 + 220 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6291236437 + ... + 6291252492.

Almost surely, 2^{101012221122012} is an apocalyptic number.

101012221122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012221122012 is an abundant number, since it is smaller than the sum of its proper divisors (155469233227108).

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

101012221122012 is a wasteful number, since it uses less digits than its factorization.

101012221122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12582489162 (or 12582489157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101012221122012 its reverse (210221122210101), we get a palindrome (311233343332113).

The spelling of 101012221122012 in words is "one hundred one trillion, twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, twelve".