10100112021122 has 16 divisors (see below), whose sum is σ = 15193102167672. Its totient is φ = 5035748762880.

The previous prime is 10100112021121. The next prime is 10100112021191. The reversal of 10100112021122 is 22112021100101.

It can be written as a sum of positive squares in 4 ways, for example, as 9692954449201 + 407157571921 = 3113351^2 + 638089^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100112021097 and 10100112021106.

It is not an unprimeable number, because it can be changed into a prime (10100112021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3877172 + ... + 5935712.

Almost surely, 2^{10100112021122} is an apocalyptic number.

10100112021122 is a deficient number, since it is larger than the sum of its proper divisors (5092990146550).

10100112021122 is a wasteful number, since it uses less digits than its factorization.

10100112021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065493.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10100112021122 its reverse (22112021100101), we get a palindrome (32212133121223).

The spelling of 10100112021122 in words is "ten trillion, one hundred billion, one hundred twelve million, twenty-one thousand, one hundred twenty-two".