3402101431001 has 24 divisors (see below), whose sum is σ = 4264209653760. Its totient is φ = 2690360078112.

The previous prime is 3402101430989. The next prime is 3402101431009. The reversal of 3402101431001 is 1001341012043.

It is not a de Polignac number, because 3402101431001 - 2²² = 3402097236697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3402101431009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185561 + ... + 2615078.

It is an arithmetic number, because the mean of its divisors is an integer number (177675402240).

Almost surely, 2^{3402101431001} is an apocalyptic number.

It is an amenable number.

3402101431001 is a deficient number, since it is larger than the sum of its proper divisors (862108222759).

3402101431001 is a wasteful number, since it uses less digits than its factorization.

3402101431001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802573 (or 2802566 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3402101431001 its reverse (1001341012043), we get a palindrome (4403442443044).

The spelling of 3402101431001 in words is "three trillion, four hundred two billion, one hundred one million, four hundred thirty-one thousand, one".