2121101122356 has 96 divisors (see below), whose sum is σ = 5638752725760. Its totient is φ = 689118451200.

The previous prime is 2121101122337. The next prime is 2121101122373. The reversal of 2121101122356 is 6532211011212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4332960 + ... + 4797576.

It is an arithmetic number, because the mean of its divisors is an integer number (58737007560).

Almost surely, 2^{2121101122356} 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 2121101122356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819376362880).

2121101122356 is an abundant number, since it is smaller than the sum of its proper divisors (3517651603404).

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

2121101122356 is a wasteful number, since it uses less digits than its factorization.

2121101122356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465702 (or 465694 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 2121101122356 its reverse (6532211011212), we get a palindrome (8653312133568).

The spelling of 2121101122356 in words is "two trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, three hundred fifty-six".