10111101009975 has 144 divisors (see below), whose sum is σ = 20812070245824. Its totient is φ = 4596632064000.

The previous prime is 10111101009973. The next prime is 10111101010009. The reversal of 10111101009975 is 57990010111101.

It is not a de Polignac number, because 10111101009975 - 2¹ = 10111101009973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111101009973) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278210305 + ... + 278246645.

It is an arithmetic number, because the mean of its divisors is an integer number (144528265596).

Almost surely, 2^{10111101009975} is an apocalyptic number.

10111101009975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10111101009975 is an abundant number, since it is smaller than the sum of its proper divisors (10700969235849).

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

10111101009975 is a wasteful number, since it uses less digits than its factorization.

10111101009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37338 (or 37330 counting only the distinct ones).

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

The spelling of 10111101009975 in words is "ten trillion, one hundred eleven billion, one hundred one million, nine thousand, nine hundred seventy-five".