10022121413413 has 8 divisors (see below), whose sum is σ = 10266642411480. Its totient is φ = 9777604177920.

The previous prime is 10022121413407. The next prime is 10022121413419. The reversal of 10022121413413 is 31431412122001.

It is an interprime number because it is at equal distance from previous prime (10022121413407) and next prime (10022121413419).

It can be written as a sum of positive squares in 4 ways, for example, as 1854997692289 + 8167123721124 = 1361983^2 + 2857818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10022121413413 - 2³⁷ = 9884682459941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022121413419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4886683 + ... + 6627511.

It is an arithmetic number, because the mean of its divisors is an integer number (1283330301435).

Almost surely, 2^{10022121413413} is an apocalyptic number.

It is an amenable number.

10022121413413 is a deficient number, since it is larger than the sum of its proper divisors (244520998067).

10022121413413 is a wasteful number, since it uses less digits than its factorization.

10022121413413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881287.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10022121413413 its reverse (31431412122001), we get a palindrome (41453533535414).

The spelling of 10022121413413 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, four hundred thirteen thousand, four hundred thirteen".