101121120112212 has 72 divisors (see below), whose sum is σ = 266438356513056. Its totient is φ = 32306545808064.

The previous prime is 101121120112163. The next prime is 101121120112231. The reversal of 101121120112212 is 212211021121101.

It is a happy number.

101121120112212 is a `hidden beast` number, since 101 + 121 + 120 + 112 + 212 = 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 23 ways as a sum of consecutive naturals, for example, 566453718 + ... + 566632205.

It is an arithmetic number, because the mean of its divisors is an integer number (3700532729348).

Almost surely, 2^{101121120112212} is an apocalyptic number.

101121120112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121120112212 is an abundant number, since it is smaller than the sum of its proper divisors (165317236400844).

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

101121120112212 is a wasteful number, since it uses less digits than its factorization.

101121120112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133086037 (or 1133086032 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101121120112212 its reverse (212211021121101), we get a palindrome (313332141233313).

The spelling of 101121120112212 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, two hundred twelve".