10100001009975 has 24 divisors (see below), whose sum is σ = 17577545619840. Its totient is φ = 5103158404320.

The previous prime is 10100001009971. The next prime is 10100001010003. The reversal of 10100001009975 is 57990010000101.

It is a happy number.

It is not a de Polignac number, because 10100001009975 - 2² = 10100001009971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001009971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3543858579 + ... + 3543861428.

It is an arithmetic number, because the mean of its divisors is an integer number (732397734160).

Almost surely, 2^{10100001009975} is an apocalyptic number.

10100001009975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10100001009975 is a deficient number, since it is larger than the sum of its proper divisors (7477544609865).

10100001009975 is a wasteful number, since it uses less digits than its factorization.

10100001009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087720039 (or 7087720034 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 33.

The spelling of 10100001009975 in words is "ten trillion, one hundred billion, one million, nine thousand, nine hundred seventy-five".