101220010112 has 32 divisors (see below), whose sum is σ = 217160722380. Its totient is φ = 46716926976.

The previous prime is 101220010103. The next prime is 101220010117. The reversal of 101220010112 is 211010022101.

It can be written as a sum of positive squares in 2 ways, for example, as 101190154816 + 29855296 = 318104^2 + 5464^2 .

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 = 101220010093 and 101220010102.

It is not an unprimeable number, because it can be changed into a prime (101220010117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30413003 + ... + 30416330.

Almost surely, 2^101220010112 is an apocalyptic number.

It is an amenable number.

101220010112 is an abundant number, since it is smaller than the sum of its proper divisors (115940712268).

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

101220010112 is an equidigital number, since it uses as much as digits as its factorization.

101220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60829360 (or 60829348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101220010112 its reverse (211010022101), we get a palindrome (312230032213).

The spelling of 101220010112 in words is "one hundred one billion, two hundred twenty million, ten thousand, one hundred twelve".