100101022021 has 128 divisors (see below), whose sum is σ = 146732608512. Its totient is φ = 65691648000.

The previous prime is 100101022019. The next prime is 100101022031. The reversal of 100101022021 is 120220101001.

It is not a de Polignac number, because 100101022021 - 2¹ = 100101022019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101021989 and 100101022007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101022031) 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 127 ways as a sum of consecutive naturals, for example, 75776041 + ... + 75777361.

It is an arithmetic number, because the mean of its divisors is an integer number (1146348504).

Almost surely, 2^100101022021 is an apocalyptic number.

100101022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101022021 is a deficient number, since it is larger than the sum of its proper divisors (46631586491).

100101022021 is a wasteful number, since it uses less digits than its factorization.

100101022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503.

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

Adding to 100101022021 its reverse (120220101001), we get a palindrome (220321123022).

The spelling of 100101022021 in words is "one hundred billion, one hundred one million, twenty-two thousand, twenty-one".