202201210100112 has 160 divisors (see below), whose sum is σ = 530975375079552. Its totient is φ = 66297941778432.

The previous prime is 202201210100093. The next prime is 202201210100173. The reversal of 202201210100112 is 211001012102202.

202201210100112 is digitally balanced in base 2, 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 = 202201210100091 and 202201210100100.

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, 704103178 + ... + 704390294.

Almost surely, 2^{202201210100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202201210100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265487687539776).

202201210100112 is an abundant number, since it is smaller than the sum of its proper divisors (328774164979440).

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

202201210100112 is a wasteful number, since it uses less digits than its factorization.

202201210100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288225 (or 288219 counting only the distinct ones).

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

Adding to 202201210100112 its reverse (211001012102202), we get a palindrome (413202222202314).

The spelling of 202201210100112 in words is "two hundred two trillion, two hundred one billion, two hundred ten million, one hundred thousand, one hundred twelve".