10002114153 has 24 divisors (see below), whose sum is σ = 14505301512. Its totient is φ = 6641445888.

The previous prime is 10002114149. The next prime is 10002114173. The reversal of 10002114153 is 35141120001.

It can be written as a sum of positive squares in 4 ways, for example, as 2966763024 + 7035351129 = 54468^2 + 83877^2 .

It is not a de Polignac number, because 10002114153 - 2² = 10002114149 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002114113) 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, 4360875 + ... + 4363167.

It is an arithmetic number, because the mean of its divisors is an integer number (604387563).

Almost surely, 2^10002114153 is an apocalyptic number.

It is an amenable number.

10002114153 is a deficient number, since it is larger than the sum of its proper divisors (4503187359).

10002114153 is a wasteful number, since it uses less digits than its factorization.

10002114153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10002114153 its reverse (35141120001), we get a palindrome (45143234154).

The spelling of 10002114153 in words is "ten billion, two million, one hundred fourteen thousand, one hundred fifty-three".