2101002122112 has 64 divisors (see below), whose sum is σ = 5581006704000. Its totient is φ = 700306456064.

The previous prime is 2101002122099. The next prime is 2101002122161. The reversal of 2101002122112 is 2112212001012.

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 = 2101002122091 and 2101002122100.

It is a congruent number.

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, 11196163 + ... + 11382269.

It is an arithmetic number, because the mean of its divisors is an integer number (87203229750).

Almost surely, 2^{2101002122112} is an apocalyptic number.

It is an amenable number.

2101002122112 is an abundant number, since it is smaller than the sum of its proper divisors (3480004581888).

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

2101002122112 is a wasteful number, since it uses less digits than its factorization.

2101002122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215523 (or 215511 counting only the distinct ones).

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

Adding to 2101002122112 its reverse (2112212001012), we get a palindrome (4213214123124).

The spelling of 2101002122112 in words is "two trillion, one hundred one billion, two million, one hundred twenty-two thousand, one hundred twelve".