2121020101122 has 128 divisors (see below), whose sum is σ = 4743567360000. Its totient is φ = 627847960320.

The previous prime is 2121020101093. The next prime is 2121020101127. The reversal of 2121020101122 is 2211010201212.

It is not an unprimeable number, because it can be changed into a prime (2121020101127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424286379 + ... + 424291377.

It is an arithmetic number, because the mean of its divisors is an integer number (37059120000).

Almost surely, 2^{2121020101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121020101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371783680000).

2121020101122 is an abundant number, since it is smaller than the sum of its proper divisors (2622547258878).

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

2121020101122 is a wasteful number, since it uses less digits than its factorization.

2121020101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121020101122 its reverse (2211010201212), we get a palindrome (4332030302334).

The spelling of 2121020101122 in words is "two trillion, one hundred twenty-one billion, twenty million, one hundred one thousand, one hundred twenty-two".