101221221100992 has 56 divisors (see below), whose sum is σ = 267818487935232. Its totient is φ = 33739902201600.

The previous prime is 101221221100991. The next prime is 101221221101069. The reversal of 101221221100992 is 299001122122101.

It is a super-2 number, since 2×101221221100992² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221221100991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9032617 + ... + 16853207.

Almost surely, 2^{101221221100992} is an apocalyptic number.

101221221100992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221221100992 is an abundant number, since it is smaller than the sum of its proper divisors (166597266834240).

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

101221221100992 is an equidigital number, since it uses as much as digits as its factorization.

101221221100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888017 (or 7888007 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 101221221100992 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, nine hundred ninety-two".