10100222100112 has 40 divisors (see below), whose sum is σ = 20987800176960. Its totient is φ = 4694045616000.

The previous prime is 10100222100091. The next prime is 10100222100173. The reversal of 10100222100112 is 21100122200101.

It is a junction number, because it is equal to n+sod(n) for n = 10100222100092 and 10100222100101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313421764 + ... + 313453987.

It is an arithmetic number, because the mean of its divisors is an integer number (524695004424).

Almost surely, 2^{10100222100112} is an apocalyptic number.

It is an amenable number.

10100222100112 is an abundant number, since it is smaller than the sum of its proper divisors (10887578076848).

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

10100222100112 is a wasteful number, since it uses less digits than its factorization.

10100222100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626875831 (or 626875825 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100222100112 its reverse (21100122200101), we get a palindrome (31200344300213).

The spelling of 10100222100112 in words is "ten trillion, one hundred billion, two hundred twenty-two million, one hundred thousand, one hundred twelve".