211010100093 has 72 divisors (see below), whose sum is σ = 352825652088. Its totient is φ = 120384811008.

The previous prime is 211010100083. The next prime is 211010100101. The reversal of 211010100093 is 390001010112.

It can be written as a sum of positive squares in 4 ways, for example, as 64855280889 + 146154819204 = 254667^2 + 382302^2 .

It is not a de Polignac number, because 211010100093 - 2⁹ = 211010099581 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010100013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8916805 + ... + 8940437.

It is an arithmetic number, because the mean of its divisors is an integer number (4900356279).

Almost surely, 2^211010100093 is an apocalyptic number.

It is an amenable number.

211010100093 is a deficient number, since it is larger than the sum of its proper divisors (141815551995).

211010100093 is a wasteful number, since it uses less digits than its factorization.

211010100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23803 (or 23733 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 211010100093 in words is "two hundred eleven billion, ten million, one hundred thousand, ninety-three".