100122101221001 has 4 divisors (see below), whose sum is σ = 100511681381652. Its totient is φ = 99732521060352.

The previous prime is 100122101220979. The next prime is 100122101221033.

100122101221001 is nontrivially palindromic in base 10.

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 67359756875401 + 32762344345600 = 8207299^2 + 5723840^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122101221001 - 2¹⁴ = 100122101204617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122101221601) 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, 194790079940 + ... + 194790080453.

It is an arithmetic number, because the mean of its divisors is an integer number (25127920345413).

Almost surely, 2^{100122101221001} is an apocalyptic number.

It is an amenable number.

100122101221001 is a deficient number, since it is larger than the sum of its proper divisors (389580160651).

100122101221001 is an equidigital number, since it uses as much as digits as its factorization.

100122101221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389580160650.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 10012210 and 1221001, that added together give a palindrome (11233211).

The spelling of 100122101221001 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, one".