10100120020112 has 40 divisors (see below), whose sum is σ = 19809890980920. Its totient is φ = 4988010705920.

The previous prime is 10100120020087. The next prime is 10100120020153. The reversal of 10100120020112 is 21102002100101.

It can be written as a sum of positive squares in 4 ways, for example, as 474340748176 + 9625779271936 = 688724^2 + 3102544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100120020093 and 10100120020102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428763 + ... + 5108730.

It is an arithmetic number, because the mean of its divisors is an integer number (495247274523).

Almost surely, 2^{10100120020112} is an apocalyptic number.

It is an amenable number.

10100120020112 is a deficient number, since it is larger than the sum of its proper divisors (9709770960808).

10100120020112 is an equidigital number, since it uses as much as digits as its factorization.

10100120020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538531 (or 7538525 counting only the distinct ones).

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

Adding to 10100120020112 its reverse (21102002100101), we get a palindrome (31202122120213).

The spelling of 10100120020112 in words is "ten trillion, one hundred billion, one hundred twenty million, twenty thousand, one hundred twelve".