101022001001 has 4 divisors (see below), whose sum is σ = 101545431252. Its totient is φ = 100498570752.

The previous prime is 101022000991. The next prime is 101022001009. The reversal of 101022001001 is 100100220101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100100220101 = 7 ⋅14300031443.

It can be written as a sum of positive squares in 2 ways, for example, as 59682978601 + 41339022400 = 244301^2 + 203320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022001001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101022001001.

It is not an unprimeable number, because it can be changed into a prime (101022001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261714836 + ... + 261715221.

It is an arithmetic number, because the mean of its divisors is an integer number (25386357813).

Almost surely, 2^101022001001 is an apocalyptic number.

It is an amenable number.

101022001001 is a deficient number, since it is larger than the sum of its proper divisors (523430251).

101022001001 is an equidigital number, since it uses as much as digits as its factorization.

101022001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523430250.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101022001001 its reverse (100100220101), we get a palindrome (201122221102).

The spelling of 101022001001 in words is "one hundred one billion, twenty-two million, one thousand, one".