100121111221001 has 32 divisors (see below), whose sum is σ = 112664595042720. Its totient is φ = 88333846272000.

The previous prime is 100121111220997. The next prime is 100121111221009. The reversal of 100121111221001 is 100122111121001.

It can be written as a sum of positive squares in 16 ways, for example, as 23275269558025 + 76845841662976 = 4824445^2 + 8766176^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121111221001 - 2² = 100121111220997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121111221009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222944981 + ... + 223393613.

It is an arithmetic number, because the mean of its divisors is an integer number (3520768595085).

Almost surely, 2^{100121111221001} is an apocalyptic number.

It is an amenable number.

100121111221001 is a deficient number, since it is larger than the sum of its proper divisors (12543483821719).

100121111221001 is a wasteful number, since it uses less digits than its factorization.

100121111221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454637.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100121111221001 its reverse (100122111121001), we get a palindrome (200243222342002).

The spelling of 100121111221001 in words is "one hundred trillion, one hundred twenty-one billion, one hundred eleven million, two hundred twenty-one thousand, one".