10142202022113 has 24 divisors (see below), whose sum is σ = 16558697183520. Its totient is φ = 5490515378880.

The previous prime is 10142202022111. The next prime is 10142202022157. The reversal of 10142202022113 is 31122020224101.

It is a happy number.

It is not a de Polignac number, because 10142202022113 - 2¹ = 10142202022111 is a prime.

It is a super-2 number, since 2×10142202022113² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10142202022113.

It is not an unprimeable number, because it can be changed into a prime (10142202022111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815643828 + ... + 1815649413.

It is an arithmetic number, because the mean of its divisors is an integer number (689945715980).

Almost surely, 2^{10142202022113} is an apocalyptic number.

It is an amenable number.

10142202022113 is a deficient number, since it is larger than the sum of its proper divisors (6416495161407).

10142202022113 is a wasteful number, since it uses less digits than its factorization.

10142202022113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631293277 (or 3631293270 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10142202022113 its reverse (31122020224101), we get a palindrome (41264222246214).

The spelling of 10142202022113 in words is "ten trillion, one hundred forty-two billion, two hundred two million, twenty-two thousand, one hundred thirteen".