100949310923601 has 24 divisors (see below), whose sum is σ = 158010904223040. Its totient is φ = 57156097394592.

The previous prime is 100949310923599. The next prime is 100949310923609. The reversal of 100949310923601 is 106329013949001.

It is a happy number.

It is not a de Polignac number, because 100949310923601 - 2¹ = 100949310923599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100949310923609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3150121621 + ... + 3150153666.

It is an arithmetic number, because the mean of its divisors is an integer number (6583787675960).

Almost surely, 2^{100949310923601} is an apocalyptic number.

It is an amenable number.

100949310923601 is a deficient number, since it is larger than the sum of its proper divisors (57061593299439).

100949310923601 is a wasteful number, since it uses less digits than its factorization.

100949310923601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300275413 (or 6300275406 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The spelling of 100949310923601 in words is "one hundred trillion, nine hundred forty-nine billion, three hundred ten million, nine hundred twenty-three thousand, six hundred one".