101800410400701 has 24 divisors (see below), whose sum is σ = 155965808924640. Its totient is φ = 63804194532000.

The previous prime is 101800410400699. The next prime is 101800410400751. The reversal of 101800410400701 is 107004014008101.

101800410400701 is a `hidden beast` number, since 1 + 0 + 180 + 0 + 4 + 10 + 400 + 70 + 1 = 666.

It is not a de Polignac number, because 101800410400701 - 2¹ = 101800410400699 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101800410400751) 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, 2272206750 + ... + 2272251551.

It is an arithmetic number, because the mean of its divisors is an integer number (6498575371860).

Almost surely, 2^{101800410400701} is an apocalyptic number.

It is an amenable number.

101800410400701 is a deficient number, since it is larger than the sum of its proper divisors (54165398523939).

101800410400701 is a wasteful number, since it uses less digits than its factorization.

101800410400701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544458457 (or 4544458454 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 101800410400701 its reverse (107004014008101), we get a palindrome (208804424408802).

The spelling of 101800410400701 in words is "one hundred one trillion, eight hundred billion, four hundred ten million, four hundred thousand, seven hundred one".