101111999958 has 48 divisors (see below), whose sum is σ = 226318150656. Its totient is φ = 32591507760.

The previous prime is 101111999881. The next prime is 101111999969. The reversal of 101111999958 is 859999111101.

It is a congruent number.

It is an unprimeable number.

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, 657541 + ... + 796607.

It is an arithmetic number, because the mean of its divisors is an integer number (4714961472).

Almost surely, 2^101111999958 is an apocalyptic number.

101111999958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101111999958 is an abundant number, since it is smaller than the sum of its proper divisors (125206150698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111999958 is a wasteful number, since it uses less digits than its factorization.

101111999958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140409 (or 140406 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 54.

The spelling of 101111999958 in words is "one hundred one billion, one hundred eleven million, nine hundred ninety-nine thousand, nine hundred fifty-eight".