2121013132001 has 4 divisors (see below), whose sum is σ = 2245778610372. Its totient is φ = 1996247653632.

The previous prime is 2121013131997. The next prime is 2121013132061. The reversal of 2121013132001 is 1002313101212.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1345486322401 + 775526809600 = 1159951^2 + 880640^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121013132001 - 2² = 2121013131997 is a prime.

It is a super-2 number, since 2×2121013132001² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 124765478353 = 2121013132001 / (2 + 1 + 2 + 1 + 0 + 1 + 3 + 1 + 3 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121013132061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62382739160 + ... + 62382739193.

It is an arithmetic number, because the mean of its divisors is an integer number (561444652593).

Almost surely, 2^{2121013132001} is an apocalyptic number.

It is an amenable number.

2121013132001 is a deficient number, since it is larger than the sum of its proper divisors (124765478371).

2121013132001 is a wasteful number, since it uses less digits than its factorization.

2121013132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124765478370.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2121013132001 its reverse (1002313101212), we get a palindrome (3123326233213).

The spelling of 2121013132001 in words is "two trillion, one hundred twenty-one billion, thirteen million, one hundred thirty-two thousand, one".