100022002101 has 72 divisors (see below), whose sum is σ = 170763319584. Its totient is φ = 56239444800.

The previous prime is 100022002057. The next prime is 100022002121. The reversal of 100022002101 is 101200220001.

It is not a de Polignac number, because 100022002101 - 2⁹ = 100022001589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022002121) 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 71 ways as a sum of consecutive naturals, for example, 42871531 + ... + 42873863.

It is an arithmetic number, because the mean of its divisors is an integer number (2371712772).

Almost surely, 2^100022002101 is an apocalyptic number.

It is an amenable number.

100022002101 is a deficient number, since it is larger than the sum of its proper divisors (70741317483).

100022002101 is a wasteful number, since it uses less digits than its factorization.

100022002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3861 counting only the distinct ones).

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

Adding to 100022002101 its reverse (101200220001), we get a palindrome (201222222102).

The spelling of 100022002101 in words is "one hundred billion, twenty-two million, two thousand, one hundred one".