101001011009975 has 6 divisors (see below), whose sum is σ = 125241253652400. Its totient is φ = 80800808807960.

The previous prime is 101001011009957. The next prime is 101001011009981. The reversal of 101001011009975 is 579900110100101.

It is not a de Polignac number, because 101001011009975 - 2²⁸ = 101000742574519 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2020020220175 + ... + 2020020220224.

It is an arithmetic number, because the mean of its divisors is an integer number (20873542275400).

Almost surely, 2^{101001011009975} is an apocalyptic number.

101001011009975 is a deficient number, since it is larger than the sum of its proper divisors (24240242642425).

101001011009975 is an equidigital number, since it uses as much as digits as its factorization.

101001011009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040040440409 (or 4040040440404 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 35.

The spelling of 101001011009975 in words is "one hundred one trillion, one billion, eleven million, nine thousand, nine hundred seventy-five".