101001122001 has 24 divisors (see below), whose sum is σ = 157124036160. Its totient is φ = 62150114016.

The previous prime is 101001121909. The next prime is 101001122149. The reversal of 101001122001 is 100221100101.

It is a happy number.

It is not a de Polignac number, because 101001122001 - 2¹³ = 101001113809 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 (101001122401) 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, 2526910 + ... + 2566568.

It is an arithmetic number, because the mean of its divisors is an integer number (6546834840).

Almost surely, 2^101001122001 is an apocalyptic number.

It is an amenable number.

101001122001 is a deficient number, since it is larger than the sum of its proper divisors (56122914159).

101001122001 is a wasteful number, since it uses less digits than its factorization.

101001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61445 (or 61442 counting only the distinct ones).

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

Adding to 101001122001 its reverse (100221100101), we get a palindrome (201222222102).

The spelling of 101001122001 in words is "one hundred one billion, one million, one hundred twenty-two thousand, one".