100122020100112 has 40 divisors (see below), whose sum is σ = 200678246674200. Its totient is φ = 48334130998272.

The previous prime is 100122020100101. The next prime is 100122020100121. The reversal of 100122020100112 is 211001020221001.

It can be written as a sum of positive squares in 4 ways, for example, as 16206453724176 + 83915566375936 = 4025724^2 + 9160544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100122020100092 and 100122020100101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34797714 + ... + 37564942.

It is an arithmetic number, because the mean of its divisors is an integer number (5016956166855).

Almost surely, 2^{100122020100112} is an apocalyptic number.

It is an amenable number.

100122020100112 is an abundant number, since it is smaller than the sum of its proper divisors (100556226574088).

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

100122020100112 is a wasteful number, since it uses less digits than its factorization.

100122020100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845243 (or 2845237 counting only the distinct ones).

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

Adding to 100122020100112 its reverse (211001020221001), we get a palindrome (311123040321113).

The spelling of 100122020100112 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, one hundred thousand, one hundred twelve".