1002022313121 has 80 divisors (see below), whose sum is σ = 1576365867648. Its totient is φ = 633080448000.

The previous prime is 1002022313107. The next prime is 1002022313179. The reversal of 1002022313121 is 1213132202001.

1002022313121 is a `hidden beast` number, since 100 + 20 + 2 + 231 + 312 + 1 = 666.

1002022313121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002022313121 - 2¹⁰ = 1002022312097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002022313094 and 1002022313103.

It is not an unprimeable number, because it can be changed into a prime (1002022383121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171078225 + ... + 171084081.

Almost surely, 2^{1002022313121} is an apocalyptic number.

It is an amenable number.

1002022313121 is a deficient number, since it is larger than the sum of its proper divisors (574343554527).

1002022313121 is a wasteful number, since it uses less digits than its factorization.

1002022313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6724 (or 6715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002022313121 its reverse (1213132202001), we get a palindrome (2215154515122).

The spelling of 1002022313121 in words is "one trillion, two billion, twenty-two million, three hundred thirteen thousand, one hundred twenty-one".