2101122012000 has 192 divisors, whose sum is σ = 7509028520448. Its totient is φ = 509362880000.

The previous prime is 2101122011987. The next prime is 2101122012001. The reversal of 2101122012000 is 2102211012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122012001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7826796 + ... + 8090795.

It is an arithmetic number, because the mean of its divisors is an integer number (39109523544).

Almost surely, 2^{2101122012000} is an apocalyptic number.

2101122012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101122012000 is an abundant number, since it is smaller than the sum of its proper divisors (5407906508448).

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

2101122012000 is a wasteful number, since it uses less digits than its factorization.

2101122012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15917630 (or 15917612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101122012000 its reverse (2102211012), we get a palindrome (2103224223012).

The spelling of 2101122012000 in words is "two trillion, one hundred one billion, one hundred twenty-two million, twelve thousand".