10122101001 has 12 divisors (see below), whose sum is σ = 14624873328. Its totient is φ = 6746193144.

The previous prime is 10122100969. The next prime is 10122101039. The reversal of 10122101001 is 10010122101.

It is a happy number.

It is not a de Polignac number, because 10122101001 - 2⁵ = 10122100969 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 (10122101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121575 + ... + 187148.

It is an arithmetic number, because the mean of its divisors is an integer number (1218739444).

Almost surely, 2^10122101001 is an apocalyptic number.

It is an amenable number.

10122101001 is a deficient number, since it is larger than the sum of its proper divisors (4502772327).

10122101001 is a wasteful number, since it uses less digits than its factorization.

10122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312372 (or 312369 counting only the distinct ones).

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

Adding to 10122101001 its reverse (10010122101), we get a palindrome (20132223102).

The spelling of 10122101001 in words is "ten billion, one hundred twenty-two million, one hundred one thousand, one".