100120101021 has 24 divisors (see below), whose sum is σ = 145522016640. Its totient is φ = 66329671776.

The previous prime is 100120100989. The next prime is 100120101143. The reversal of 100120101021 is 120101021001.

It is a happy number.

It is not a de Polignac number, because 100120101021 - 2⁵ = 100120100989 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100120100994 and 100120101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120103021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8469511 + ... + 8481323.

It is an arithmetic number, because the mean of its divisors is an integer number (6063417360).

Almost surely, 2^100120101021 is an apocalyptic number.

It is an amenable number.

100120101021 is a deficient number, since it is larger than the sum of its proper divisors (45401915619).

100120101021 is a wasteful number, since it uses less digits than its factorization.

100120101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17625 (or 17622 counting only the distinct ones).

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

Adding to 100120101021 its reverse (120101021001), we get a palindrome (220221122022).

The spelling of 100120101021 in words is "one hundred billion, one hundred twenty million, one hundred one thousand, twenty-one".