2122121211021 has 48 divisors (see below), whose sum is σ = 3567173800320. Its totient is φ = 1190543690880.

The previous prime is 2122121210987. The next prime is 2122121211029. The reversal of 2122121211021 is 1201121212212.

It is not a de Polignac number, because 2122121211021 - 2²² = 2122117016717 is a prime.

It is a super-2 number, since 2×2122121211021² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122121210985 and 2122121211003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122121211029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503951 + ... + 3242531.

It is an arithmetic number, because the mean of its divisors is an integer number (74316120840).

Almost surely, 2^{2122121211021} is an apocalyptic number.

2122121211021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122121211021 is a deficient number, since it is larger than the sum of its proper divisors (1445052589299).

2122121211021 is a wasteful number, since it uses less digits than its factorization.

2122121211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739426 (or 739423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2122121211021 its reverse (1201121212212), we get a palindrome (3323242423233).

The spelling of 2122121211021 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred eleven thousand, twenty-one".