100201002212112 has 40 divisors (see below), whose sum is σ = 258982080336000. Its totient is φ = 33383625517440.

The previous prime is 100201002212063. The next prime is 100201002212117. The reversal of 100201002212112 is 211212200102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201002212091 and 100201002212100.

It is not an unprimeable number, because it can be changed into a prime (100201002212117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522045339 + ... + 522237242.

It is an arithmetic number, because the mean of its divisors is an integer number (6474552008400).

Almost surely, 2^{100201002212112} is an apocalyptic number.

100201002212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100201002212112 is an abundant number, since it is smaller than the sum of its proper divisors (158781078123888).

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

100201002212112 is a wasteful number, since it uses less digits than its factorization.

100201002212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044284591 (or 1044284585 counting only the distinct ones).

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

Adding to 100201002212112 its reverse (211212200102001), we get a palindrome (311413202314113).

The spelling of 100201002212112 in words is "one hundred trillion, two hundred one billion, two million, two hundred twelve thousand, one hundred twelve".