100102021122121 has 16 divisors (see below), whose sum is σ = 101881891278720. Its totient is φ = 98338477852800.

The previous prime is 100102021122119. The next prime is 100102021122149. The reversal of 100102021122121 is 121221120201001.

It is a cyclic number.

It is not a de Polignac number, because 100102021122121 - 2¹ = 100102021122119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102021122095 and 100102021122104.

It is not an unprimeable number, because it can be changed into a prime (100102021122161) 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 15 ways as a sum of consecutive naturals, for example, 21111060 + ... + 25414186.

It is an arithmetic number, because the mean of its divisors is an integer number (6367618204920).

Almost surely, 2^{100102021122121} is an apocalyptic number.

It is an amenable number.

100102021122121 is a deficient number, since it is larger than the sum of its proper divisors (1779870156599).

100102021122121 is a wasteful number, since it uses less digits than its factorization.

100102021122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305024.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100102021122121 its reverse (121221120201001), we get a palindrome (221323141323122).

The spelling of 100102021122121 in words is "one hundred trillion, one hundred two billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".