100021120101 has 72 divisors (see below), whose sum is σ = 177387930720. Its totient is φ = 53999918784.

The previous prime is 100021120099. The next prime is 100021120169. The reversal of 100021120101 is 101021120001.

It is a happy number.

It is not a de Polignac number, because 100021120101 - 2¹ = 100021120099 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 (100021170101) 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, 3109366 + ... + 3141368.

It is an arithmetic number, because the mean of its divisors is an integer number (2463721260).

Almost surely, 2^100021120101 is an apocalyptic number.

It is an amenable number.

100021120101 is a deficient number, since it is larger than the sum of its proper divisors (77366810619).

100021120101 is a wasteful number, since it uses less digits than its factorization.

100021120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32415 (or 32405 counting only the distinct ones).

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

Adding to 100021120101 its reverse (101021120001), we get a palindrome (201042240102).

The spelling of 100021120101 in words is "one hundred billion, twenty-one million, one hundred twenty thousand, one hundred one".