2101012012112 has 80 divisors (see below), whose sum is σ = 4405374860880. Its totient is φ = 964942626816.

The previous prime is 2101012012087. The next prime is 2101012012123. The reversal of 2101012012112 is 2112102101012.

It can be written as a sum of positive squares in 8 ways, for example, as 271528535056 + 1829483477056 = 521084^2 + 1352584^2 .

It is a congruent number.

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, 53917628 + ... + 53956580.

It is an arithmetic number, because the mean of its divisors is an integer number (55067185761).

Almost surely, 2^{2101012012112} 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 2101012012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202687430440).

2101012012112 is an abundant number, since it is smaller than the sum of its proper divisors (2304362848768).

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

2101012012112 is a wasteful number, since it uses less digits than its factorization.

2101012012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40240 (or 40234 counting only the distinct ones).

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

Adding to 2101012012112 its reverse (2112102101012), we get a palindrome (4213114113124).

The spelling of 2101012012112 in words is "two trillion, one hundred one billion, twelve million, twelve thousand, one hundred twelve".