101222201012112 has 80 divisors (see below), whose sum is σ = 290567508977280. Its totient is φ = 33738143718528.

The previous prime is 101222201012089. The next prime is 101222201012129. The reversal of 101222201012112 is 211210102222101.

101222201012112 is a `hidden beast` number, since 10 + 122 + 220 + 101 + 211 + 2 = 666.

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

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, 3354388 + ... + 14618355.

It is an arithmetic number, because the mean of its divisors is an integer number (3632093862216).

Almost surely, 2^{101222201012112} is an apocalyptic number.

101222201012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101222201012112 is an abundant number, since it is smaller than the sum of its proper divisors (189345307965168).

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

101222201012112 is a wasteful number, since it uses less digits than its factorization.

101222201012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17985797 (or 17985785 counting only the distinct ones).

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

Adding to 101222201012112 its reverse (211210102222101), we get a palindrome (312432303234213).

The spelling of 101222201012112 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred one million, twelve thousand, one hundred twelve".