100102021021 has 4 divisors (see below), whose sum is σ = 100129278172. Its totient is φ = 100074763872.

The previous prime is 100102020979. The next prime is 100102021031. The reversal of 100102021021 is 120120201001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 120120201001 = 4759 ⋅25240639.

It can be written as a sum of positive squares in 2 ways, for example, as 33648399225 + 66453621796 = 183435^2 + 257786^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102021021 - 2¹⁵ = 100101988253 is a prime.

It is a super-2 number, since 2×100102021021² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102020989 and 100102021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102021031) 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 3 ways as a sum of consecutive naturals, for example, 13623066 + ... + 13630411.

It is an arithmetic number, because the mean of its divisors is an integer number (25032319543).

Almost surely, 2^100102021021 is an apocalyptic number.

It is an amenable number.

100102021021 is a deficient number, since it is larger than the sum of its proper divisors (27257151).

100102021021 is an equidigital number, since it uses as much as digits as its factorization.

100102021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27257150.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102021021 its reverse (120120201001), we get a palindrome (220222222022).

The spelling of 100102021021 in words is "one hundred billion, one hundred two million, twenty-one thousand, twenty-one".