101222112100212 has 36 divisors (see below), whose sum is σ = 264690005782020. Its totient is φ = 32577231480192.

The previous prime is 101222112100211. The next prime is 101222112100261. The reversal of 101222112100212 is 212001211222101.

101222112100212 is a `hidden beast` number, since 10 + 1 + 22 + 211 + 210 + 0 + 212 = 666.

101222112100212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45983534205456 + 55238577894756 = 6781116^2 + 7432266^2 .

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 not an unprimeable number, because it can be changed into a prime (101222112100211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48478021993 + ... + 48478024080.

Almost surely, 2^{101222112100212} is an apocalyptic number.

101222112100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222112100212 is an abundant number, since it is smaller than the sum of its proper divisors (163467893681808).

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

101222112100212 is a wasteful number, since it uses less digits than its factorization.

101222112100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96956046112 (or 96956046107 counting only the distinct ones).

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

Adding to 101222112100212 its reverse (212001211222101), we get a palindrome (313223323322313).

The spelling of 101222112100212 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twelve million, one hundred thousand, two hundred twelve".