2101001012121 has 32 divisors (see below), whose sum is σ = 3099328220160. Its totient is φ = 1255284430400.

The previous prime is 2101001012113. The next prime is 2101001012147. The reversal of 2101001012121 is 1212101001012.

It is not a de Polignac number, because 2101001012121 - 2³ = 2101001012113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101001012097 and 2101001012106.

It is not an unprimeable number, because it can be changed into a prime (2101001012191) 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, 30243895 + ... + 30313283.

It is an arithmetic number, because the mean of its divisors is an integer number (96854006880).

Almost surely, 2^{2101001012121} is an apocalyptic number.

It is an amenable number.

2101001012121 is a deficient number, since it is larger than the sum of its proper divisors (998327208039).

2101001012121 is a wasteful number, since it uses less digits than its factorization.

2101001012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82397.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101001012121 its reverse (1212101001012), we get a palindrome (3313102013133).

It can be divided in two parts, 2101001012 and 121, that multiplied together give a palindrome (254221122452).

The spelling of 2101001012121 in words is "two trillion, one hundred one billion, one million, twelve thousand, one hundred twenty-one".