211001000100093 has 128 divisors (see below), whose sum is σ = 376880518103040. Its totient is φ = 114063674757120.

The previous prime is 211001000100089. The next prime is 211001000100119. The reversal of 211001000100093 is 390001000100112.

It is not a de Polignac number, because 211001000100093 - 2² = 211001000100089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001000100073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 626838673 + ... + 627175193.

It is an arithmetic number, because the mean of its divisors is an integer number (2944379047680).

Almost surely, 2^{211001000100093} is an apocalyptic number.

211001000100093 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211001000100093 is a deficient number, since it is larger than the sum of its proper divisors (165879518002947).

211001000100093 is a wasteful number, since it uses less digits than its factorization.

211001000100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338144 (or 338138 counting only the distinct ones).

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

The spelling of 211001000100093 in words is "two hundred eleven trillion, one billion, one hundred thousand, ninety-three".