100102022022121 has 16 divisors (see below), whose sum is σ = 116278294423168. Its totient is φ = 84394758470400.

The previous prime is 100102022022029. The next prime is 100102022022133. The reversal of 100102022022121 is 121220220201001.

It is a happy number.

It is not a de Polignac number, because 100102022022121 - 2¹⁹ = 100102021497833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102022022095 and 100102022022104.

It is not an unprimeable number, because it can be changed into a prime (100102022022221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128018086 + ... + 128797648.

It is an arithmetic number, because the mean of its divisors is an integer number (7267393401448).

Almost surely, 2^{100102022022121} is an apocalyptic number.

It is an amenable number.

100102022022121 is a deficient number, since it is larger than the sum of its proper divisors (16176272401047).

100102022022121 is an equidigital number, since it uses as much as digits as its factorization.

100102022022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080352.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100102022022121 its reverse (121220220201001), we get a palindrome (221322242223122).

The spelling of 100102022022121 in words is "one hundred trillion, one hundred two billion, twenty-two million, twenty-two thousand, one hundred twenty-one".