101022012112212 has 48 divisors (see below), whose sum is σ = 268296942748800. Its totient is φ = 32852686864320.

The previous prime is 101022012112199. The next prime is 101022012112249. The reversal of 101022012112212 is 212211210220101.

101022012112212 is a `hidden beast` number, since 1 + 0 + 10 + 220 + 1 + 211 + 221 + 2 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11407178512 + ... + 11407187367.

It is an arithmetic number, because the mean of its divisors is an integer number (5589519640600).

Almost surely, 2^{101022012112212} is an apocalyptic number.

101022012112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022012112212 is an abundant number, since it is smaller than the sum of its proper divisors (167274930636588).

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

101022012112212 is a wasteful number, since it uses less digits than its factorization.

101022012112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22814365933 (or 22814365925 counting only the distinct ones).

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

Adding to 101022012112212 its reverse (212211210220101), we get a palindrome (313233222332313).

The spelling of 101022012112212 in words is "one hundred one trillion, twenty-two billion, twelve million, one hundred twelve thousand, two hundred twelve".