101121222210112 has 56 divisors (see below), whose sum is σ = 216148743216000. Its totient is φ = 46660373408256.

The previous prime is 101121222210067. The next prime is 101121222210181. The reversal of 101121222210112 is 211012222121101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121222210112.

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 7 ways as a sum of consecutive naturals, for example, 10725112 + ... + 17812087.

It is an arithmetic number, because the mean of its divisors is an integer number (3859798986000).

Almost surely, 2^{101121222210112} is an apocalyptic number.

It is an amenable number.

101121222210112 is an abundant number, since it is smaller than the sum of its proper divisors (115027521005888).

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

101121222210112 is a wasteful number, since it uses less digits than its factorization.

101121222210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28541483 (or 28541473 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101121222210112 its reverse (211012222121101), we get a palindrome (312133444331213).

The spelling of 101121222210112 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred ten thousand, one hundred twelve".