101111010009975 has 144 divisors (see below), whose sum is σ = 220282983790272. Its totient is φ = 43277816954880.

The previous prime is 101111010009913. The next prime is 101111010010057. The reversal of 101111010009975 is 579900010111101.

It is not a de Polignac number, because 101111010009975 - 2¹⁷ = 101111009878903 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4615642 + ... + 14950791.

It is an arithmetic number, because the mean of its divisors is an integer number (1529742942988).

Almost surely, 2^{101111010009975} is an apocalyptic number.

101111010009975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101111010009975 is an abundant number, since it is smaller than the sum of its proper divisors (119171973780297).

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

101111010009975 is a wasteful number, since it uses less digits than its factorization.

101111010009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19566666 (or 19566658 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 36.

The spelling of 101111010009975 in words is "one hundred one trillion, one hundred eleven billion, ten million, nine thousand, nine hundred seventy-five".