101100242399 has 32 divisors (see below), whose sum is σ = 114862745088. Its totient is φ = 88284240000.

The previous prime is 101100242393. The next prime is 101100242401. The reversal of 101100242399 is 993242001101.

It is a cyclic number.

It is not a de Polignac number, because 101100242399 - 2⁸ = 101100242143 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100242393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47441564 + ... + 47443694.

It is an arithmetic number, because the mean of its divisors is an integer number (3589460784).

Almost surely, 2^101100242399 is an apocalyptic number.

101100242399 is a deficient number, since it is larger than the sum of its proper divisors (13762502689).

101100242399 is a wasteful number, since it uses less digits than its factorization.

101100242399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 101100242399 in words is "one hundred one billion, one hundred million, two hundred forty-two thousand, three hundred ninety-nine".