100101220202112 has 64 divisors (see below), whose sum is σ = 268333259541600. Its totient is φ = 33060953447424.

The previous prime is 100101220202077. The next prime is 100101220202141. The reversal of 100101220202112 is 211202022101001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 100101220202091 and 100101220202100.

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, 1195739158 + ... + 1195822869.

Almost surely, 2^{100101220202112} is an apocalyptic number.

100101220202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101220202112 is an abundant number, since it is smaller than the sum of its proper divisors (168232039339488).

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

100101220202112 is a wasteful number, since it uses less digits than its factorization.

100101220202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391562153 (or 2391562141 counting only the distinct ones).

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

Adding to 100101220202112 its reverse (211202022101001), we get a palindrome (311303242303113).

The spelling of 100101220202112 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, two hundred two thousand, one hundred twelve".