2101002112112 has 20 divisors (see below), whose sum is σ = 4310144039376. Its totient is φ = 988706876160.

The previous prime is 2101002112087. The next prime is 2101002112117. The reversal of 2101002112112 is 2112112001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101002112117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3862135964 + ... + 3862136507.

Almost surely, 2^{2101002112112} is an apocalyptic number.

It is an amenable number.

2101002112112 is an abundant number, since it is smaller than the sum of its proper divisors (2209141927264).

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

2101002112112 is a wasteful number, since it uses less digits than its factorization.

2101002112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724272496 (or 7724272490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101002112112 its reverse (2112112001012), we get a palindrome (4213114113124).

The spelling of 2101002112112 in words is "two trillion, one hundred one billion, two million, one hundred twelve thousand, one hundred twelve".