100121011102021 has 32 divisors (see below), whose sum is σ = 123343578505728. Its totient is φ = 79140970771200.

The previous prime is 100121011102003. The next prime is 100121011102043. The reversal of 100121011102021 is 120201110121001.

It is a happy number.

It is not a de Polignac number, because 100121011102021 - 2²⁷ = 100120876884293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100121011101992 and 100121011102010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121011102061) 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 31 ways as a sum of consecutive naturals, for example, 657822696 + ... + 657974878.

It is an arithmetic number, because the mean of its divisors is an integer number (3854486828304).

Almost surely, 2^{100121011102021} is an apocalyptic number.

It is an amenable number.

100121011102021 is a deficient number, since it is larger than the sum of its proper divisors (23222567403707).

100121011102021 is a wasteful number, since it uses less digits than its factorization.

100121011102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159061.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100121011102021 its reverse (120201110121001), we get a palindrome (220322121223022).

The spelling of 100121011102021 in words is "one hundred trillion, one hundred twenty-one billion, eleven million, one hundred two thousand, twenty-one".