100211009975 has 48 divisors (see below), whose sum is σ = 134951529216. Its totient is φ = 73643904000.

The previous prime is 100211009971. The next prime is 100211010019. The reversal of 100211009975 is 579900112001.

It is not a de Polignac number, because 100211009975 - 2² = 100211009971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211009971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133057 + ... + 1218293.

It is an arithmetic number, because the mean of its divisors is an integer number (2811490192).

Almost surely, 2^100211009975 is an apocalyptic number.

100211009975 is a deficient number, since it is larger than the sum of its proper divisors (34740519241).

100211009975 is a wasteful number, since it uses less digits than its factorization.

100211009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85356 (or 85351 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 35.

The spelling of 100211009975 in words is "one hundred billion, two hundred eleven million, nine thousand, nine hundred seventy-five".