101022220010112 has 32 divisors (see below), whose sum is σ = 268340271902880. Its totient is φ = 33674073336576.

The previous prime is 101022220010071. The next prime is 101022220010177. The reversal of 101022220010112 is 211010022220101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 101022220010091 and 101022220010100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131539348588 + ... + 131539349355.

It is an arithmetic number, because the mean of its divisors is an integer number (8385633496965).

Almost surely, 2^{101022220010112} is an apocalyptic number.

101022220010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022220010112 is an abundant number, since it is smaller than the sum of its proper divisors (167318051892768).

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

101022220010112 is an equidigital number, since it uses as much as digits as its factorization.

101022220010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263078697960 (or 263078697948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022220010112 its reverse (211010022220101), we get a palindrome (312032242230213).

The spelling of 101022220010112 in words is "one hundred one trillion, twenty-two billion, two hundred twenty million, ten thousand, one hundred twelve".