2122010001013 has 64 divisors (see below), whose sum is σ = 2593129144320. Its totient is φ = 1698528787200.

The previous prime is 2122010000989. The next prime is 2122010001029. The reversal of 2122010001013 is 3101000102212.

It is not a de Polignac number, because 2122010001013 - 2⁹ = 2122010000501 is a prime.

It is a super-2 number, since 2×2122010001013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122010000984 and 2122010001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122010001113) 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, 245911783 + ... + 245920411.

It is an arithmetic number, because the mean of its divisors is an integer number (40517642880).

Almost surely, 2^{2122010001013} is an apocalyptic number.

It is an amenable number.

2122010001013 is a deficient number, since it is larger than the sum of its proper divisors (471119143307).

2122010001013 is a wasteful number, since it uses less digits than its factorization.

2122010001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2122010001013 its reverse (3101000102212), we get a palindrome (5223010103225).

The spelling of 2122010001013 in words is "two trillion, one hundred twenty-two billion, ten million, one thousand, thirteen".