100122112200121 has 4 divisors (see below), whose sum is σ = 109224122400144. Its totient is φ = 91020102000100.

The previous prime is 100122112200119. The next prime is 100122112200137. The reversal of 100122112200121 is 121002211221001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100122112200121 - 2¹ = 100122112200119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122112200095 and 100122112200104.

It is not an unprimeable number, because it can be changed into a prime (100122112200181) 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, 4551005099995 + ... + 4551005100016.

It is an arithmetic number, because the mean of its divisors is an integer number (27306030600036).

Almost surely, 2^{100122112200121} is an apocalyptic number.

100122112200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122112200121 is a deficient number, since it is larger than the sum of its proper divisors (9102010200023).

100122112200121 is an equidigital number, since it uses as much as digits as its factorization.

100122112200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9102010200022.

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

Adding to 100122112200121 its reverse (121002211221001), we get a palindrome (221124323421122).

The spelling of 100122112200121 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twelve million, two hundred thousand, one hundred twenty-one".