101221120001112 has 64 divisors (see below), whose sum is σ = 261875974060800. Its totient is φ = 32577872296320.

The previous prime is 101221120001017. The next prime is 101221120001147. The reversal of 101221120001112 is 211100021122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101221120001091 and 101221120001100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434951412 + ... + 435184067.

It is an arithmetic number, because the mean of its divisors is an integer number (4091812094700).

Almost surely, 2^{101221120001112} is an apocalyptic number.

101221120001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221120001112 is an abundant number, since it is smaller than the sum of its proper divisors (160654854059688).

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

101221120001112 is a wasteful number, since it uses less digits than its factorization.

101221120001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870135656 (or 870135652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221120001112 its reverse (211100021122101), we get a palindrome (312321141123213).

The spelling of 101221120001112 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty million, one thousand, one hundred twelve".