100101122202121 has 4 divisors (see below), whose sum is σ = 100101203896644. Its totient is φ = 100101040507600.

The previous prime is 100101122202113. The next prime is 100101122202139. The reversal of 100101122202121 is 121202221101001.

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 82683812908096 + 17417309294025 = 9093064^2 + 4173405^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101122202121 - 2³ = 100101122202113 is a prime.

It is a super-2 number, since 2×100101122202121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101122202095 and 100101122202104.

It is not an unprimeable number, because it can be changed into a prime (100101122202821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38980870 + ... + 41469391.

It is an arithmetic number, because the mean of its divisors is an integer number (25025300974161).

Almost surely, 2^{100101122202121} is an apocalyptic number.

It is an amenable number.

100101122202121 is a deficient number, since it is larger than the sum of its proper divisors (81694523).

100101122202121 is an equidigital number, since it uses as much as digits as its factorization.

100101122202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81694522.

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

Adding to 100101122202121 its reverse (121202221101001), we get a palindrome (221303343303122).

The spelling of 100101122202121 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".