10100122122121 has 4 divisors (see below), whose sum is σ = 10694246952852. Its totient is φ = 9505997291392.

The previous prime is 10100122122119. The next prime is 10100122122157. The reversal of 10100122122121 is 12122122100101.

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 5899016006521 + 4201106115600 = 2428789^2 + 2049660^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100122122121 - 2¹ = 10100122122119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100122122095 and 10100122122104.

It is not an unprimeable number, because it can be changed into a prime (10100122122521) 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, 297062415340 + ... + 297062415373.

It is an arithmetic number, because the mean of its divisors is an integer number (2673561738213).

Almost surely, 2^{10100122122121} is an apocalyptic number.

It is an amenable number.

10100122122121 is a deficient number, since it is larger than the sum of its proper divisors (594124830731).

10100122122121 is an equidigital number, since it uses as much as digits as its factorization.

10100122122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594124830730.

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

Adding to 10100122122121 its reverse (12122122100101), we get a palindrome (22222244222222).

The spelling of 10100122122121 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-one".