100220101122121 has 4 divisors (see below), whose sum is σ = 100951634707092. Its totient is φ = 99488567537152.

The previous prime is 100220101122047. The next prime is 100220101122157. The reversal of 100220101122121 is 121221101022001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 82519056000000 + 17701045122121 = 9084000^2 + 4207261^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220101122121 - 2⁷ = 100220101121993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100220101122095 and 100220101122104.

It is not an unprimeable number, because it can be changed into a prime (100220101122181) 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 3 ways as a sum of consecutive naturals, for example, 365766792280 + ... + 365766792553.

It is an arithmetic number, because the mean of its divisors is an integer number (25237908676773).

Almost surely, 2^{100220101122121} is an apocalyptic number.

It is an amenable number.

100220101122121 is a deficient number, since it is larger than the sum of its proper divisors (731533584971).

100220101122121 is an equidigital number, since it uses as much as digits as its factorization.

100220101122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731533584970.

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

Adding to 100220101122121 its reverse (121221101022001), we get a palindrome (221441202144122).

The spelling of 100220101122121 in words is "one hundred trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".