100122202101012 has 96 divisors (see below), whose sum is σ = 288437463589632. Its totient is φ = 26322556179456.

The previous prime is 100122202101007. The next prime is 100122202101049. The reversal of 100122202101012 is 210101202221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122202100982 and 100122202101000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144270553 + ... + 144962880.

It is an arithmetic number, because the mean of its divisors is an integer number (3004556912392).

Almost surely, 2^{100122202101012} is an apocalyptic number.

100122202101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122202101012 is an abundant number, since it is smaller than the sum of its proper divisors (188315261488620).

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

100122202101012 is a wasteful number, since it uses less digits than its factorization.

100122202101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289233777 (or 289233775 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100122202101012 its reverse (210101202221001), we get a palindrome (310223404322013).

The spelling of 100122202101012 in words is "one hundred trillion, one hundred twenty-two billion, two hundred two million, one hundred one thousand, twelve".