100680013401 has 16 divisors (see below), whose sum is σ = 152810772480. Its totient is φ = 58365224720.

The previous prime is 100680013367. The next prime is 100680013409. The reversal of 100680013401 is 104310086001.

It is not a de Polignac number, because 100680013401 - 2²¹ = 100677916249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100680013409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66323361 + ... + 66324878.

It is an arithmetic number, because the mean of its divisors is an integer number (9550673280).

Almost surely, 2^100680013401 is an apocalyptic number.

100680013401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100680013401 is a deficient number, since it is larger than the sum of its proper divisors (52130759079).

100680013401 is a wasteful number, since it uses less digits than its factorization.

100680013401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132648276.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 100680013401 its reverse (104310086001), we get a palindrome (204990099402).

It can be divided in two parts, 1006800 and 13401, that added together give a palindrome (1020201).

The spelling of 100680013401 in words is "one hundred billion, six hundred eighty million, thirteen thousand, four hundred one".