100101111999957 has 16 divisors (see below), whose sum is σ = 149050725151680. Its totient is φ = 66395323015056.

The previous prime is 100101111999919. The next prime is 100101112000027. The reversal of 100101111999957 is 759999111101001.

It is a happy number.

It is not a de Polignac number, because 100101111999957 - 2¹⁴ = 100101111983573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111999857) 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, 9409762683 + ... + 9409773320.

It is an arithmetic number, because the mean of its divisors is an integer number (9315670321980).

Almost surely, 2^{100101111999957} is an apocalyptic number.

It is an amenable number.

100101111999957 is a deficient number, since it is larger than the sum of its proper divisors (48949613151723).

100101111999957 is a wasteful number, since it uses less digits than its factorization.

100101111999957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18819536209 (or 18819536203 counting only the distinct ones).

The product of its (nonzero) digits is 229635, while the sum is 54.

The spelling of 100101111999957 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, nine hundred ninety-nine thousand, nine hundred fifty-seven".