10100010122001 has 64 divisors (see below), whose sum is σ = 15619761930240. Its totient is φ = 6444932944320.

The previous prime is 10100010121913. The next prime is 10100010122003. The reversal of 10100010122001 is 10022101000101.

It is a happy number.

It is not a de Polignac number, because 10100010122001 - 2²⁹ = 10099473251089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10100010122003) 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, 20675496 + ... + 21158358.

It is an arithmetic number, because the mean of its divisors is an integer number (244058780160).

Almost surely, 2^{10100010122001} is an apocalyptic number.

It is an amenable number.

10100010122001 is a deficient number, since it is larger than the sum of its proper divisors (5519751808239).

10100010122001 is a wasteful number, since it uses less digits than its factorization.

10100010122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483283 (or 483277 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100010122001 its reverse (10022101000101), we get a palindrome (20122111122102).

The spelling of 10100010122001 in words is "ten trillion, one hundred billion, ten million, one hundred twenty-two thousand, one".