100204343402001 has 64 divisors (see below), whose sum is σ = 137819102524416. Its totient is φ = 64731034368000.

The previous prime is 100204343401973. The next prime is 100204343402003.

100204343402001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100204343402001 - 2⁷ = 100204343401873 is a prime.

It is a super-2 number, since 2×100204343402001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100204343402003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13148446971 + ... + 13148454591.

It is an arithmetic number, because the mean of its divisors is an integer number (2153423476944).

Almost surely, 2^{100204343402001} is an apocalyptic number.

It is an amenable number.

100204343402001 is a deficient number, since it is larger than the sum of its proper divisors (37614759122415).

100204343402001 is a wasteful number, since it uses less digits than its factorization.

100204343402001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9722.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 100204343402001 in words is "one hundred trillion, two hundred four billion, three hundred forty-three million, four hundred two thousand, one".