1010002022001 has 96 divisors (see below), whose sum is σ = 1721963992320. Its totient is φ = 558557171712.

The previous prime is 1010002021967. The next prime is 1010002022011. The reversal of 1010002022001 is 1002202000101.

It is not a de Polignac number, because 1010002022001 - 2¹³ = 1010002013809 is a prime.

It is a super-2 number, since 2×1010002022001² (a number of 25 digits) contains 22 as substring.

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 (1010002022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160902075 + ... + 160908351.

It is an arithmetic number, because the mean of its divisors is an integer number (17937124920).

Almost surely, 2^{1010002022001} is an apocalyptic number.

It is an amenable number.

1010002022001 is a deficient number, since it is larger than the sum of its proper divisors (711961970319).

1010002022001 is a wasteful number, since it uses less digits than its factorization.

1010002022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010002022001 its reverse (1002202000101), we get a palindrome (2012204022102).

The spelling of 1010002022001 in words is "one trillion, ten billion, two million, twenty-two thousand, one".