100220121022001 has 8 divisors (see below), whose sum is σ = 100995360911808. Its totient is φ = 99445035690000.

The previous prime is 100220121021991. The next prime is 100220121022039.

100220121022001 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220121022001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220121012001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37337405 + ... + 39931466.

It is an arithmetic number, because the mean of its divisors is an integer number (12624420113976).

Almost surely, 2^{100220121022001} is an apocalyptic number.

It is an amenable number.

100220121022001 is a deficient number, since it is larger than the sum of its proper divisors (775239889807).

100220121022001 is an equidigital number, since it uses as much as digits as its factorization.

100220121022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77278903.

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 100220121022001 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, one".