101010122001 has 6 divisors (see below), whose sum is σ = 145903509570. Its totient is φ = 67340081328.

The previous prime is 101010121991. The next prime is 101010122039. The reversal of 101010122001 is 100221010101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67080482001 + 33929640000 = 258999^2 + 184200^2 .

It is not a de Polignac number, because 101010122001 - 2⁵ = 101010121969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11223346889 = 101010122001 / (1 + 0 + 1 + 0 + 1 + 0 + 1 + 2 + 2 + 0 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101010122071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611673436 + ... + 5611673453.

It is an arithmetic number, because the mean of its divisors is an integer number (24317251595).

Almost surely, 2^101010122001 is an apocalyptic number.

It is an amenable number.

101010122001 is a deficient number, since it is larger than the sum of its proper divisors (44893387569).

101010122001 is a wasteful number, since it uses less digits than its factorization.

101010122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223346895 (or 11223346892 counting only the distinct ones).

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

Adding to 101010122001 its reverse (100221010101), we get a palindrome (201231132102).

The spelling of 101010122001 in words is "one hundred one billion, ten million, one hundred twenty-two thousand, one".