100102212020112 has 80 divisors (see below), whose sum is σ = 266941893911040. Its totient is φ = 32290714137600.

The previous prime is 100102212020077. The next prime is 100102212020131. The reversal of 100102212020112 is 211020212201001.

100102212020112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100102212020091 and 100102212020100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182364564 + ... + 182912652.

It is an arithmetic number, because the mean of its divisors is an integer number (3336773673888).

Almost surely, 2^{100102212020112} is an apocalyptic number.

100102212020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102212020112 is an abundant number, since it is smaller than the sum of its proper divisors (166839681890928).

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

100102212020112 is a wasteful number, since it uses less digits than its factorization.

100102212020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670872 (or 670866 counting only the distinct ones).

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

Adding to 100102212020112 its reverse (211020212201001), we get a palindrome (311122424221113).

The spelling of 100102212020112 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, twenty thousand, one hundred twelve".