2121120121000 has 64 divisors (see below), whose sum is σ = 5044788786960. Its totient is φ = 834539040000.

The previous prime is 2121120120983. The next prime is 2121120121037. The reversal of 2121120121000 is 1210211212.

It can be written as a sum of positive squares in 8 ways, for example, as 299014299684 + 1822105821316 = 546822^2 + 1349854^2 .

It is a super-2 number, since 2×2121120121000² (a number of 25 digits) contains 22 as substring.

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, 17325231 + ... + 17447230.

Almost surely, 2^{2121120121000} is an apocalyptic number.

2121120121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121120121000 is an abundant number, since it is smaller than the sum of its proper divisors (2923668665960).

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

2121120121000 is a wasteful number, since it uses less digits than its factorization.

2121120121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34772543 (or 34772529 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121120121000 its reverse (1210211212), we get a palindrome (2122330332212).

The spelling of 2121120121000 in words is "two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand".