100122102021 has 32 divisors (see below), whose sum is σ = 143870017536. Its totient is φ = 61707744000.

The previous prime is 100122101969. The next prime is 100122102103. The reversal of 100122102021 is 120201221001.

It is not a de Polignac number, because 100122102021 - 2⁶ = 100122101957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122101988 and 100122102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122103021) 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 31 ways as a sum of consecutive naturals, for example, 930276 + ... + 1032306.

It is an arithmetic number, because the mean of its divisors is an integer number (4495938048).

Almost surely, 2^100122102021 is an apocalyptic number.

It is an amenable number.

100122102021 is a deficient number, since it is larger than the sum of its proper divisors (43747915515).

100122102021 is a wasteful number, since it uses less digits than its factorization.

100122102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102393.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100122102021 its reverse (120201221001), we get a palindrome (220323323022).

The spelling of 100122102021 in words is "one hundred billion, one hundred twenty-two million, one hundred two thousand, twenty-one".