21100123311093 has 32 divisors (see below), whose sum is σ = 33101709849600. Its totient is φ = 13246594851888.

The previous prime is 21100123311053. The next prime is 21100123311181. The reversal of 21100123311093 is 39011332100112.

21100123311093 is a `hidden beast` number, since 211 + 0 + 0 + 12 + 331 + 109 + 3 = 666.

It is not a de Polignac number, because 21100123311093 - 2¹⁶ = 21100123245557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100123311053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123060571 + ... + 123231912.

It is an arithmetic number, because the mean of its divisors is an integer number (1034428432800).

Almost surely, 2^{21100123311093} is an apocalyptic number.

It is an amenable number.

21100123311093 is a deficient number, since it is larger than the sum of its proper divisors (12001586538507).

21100123311093 is a wasteful number, since it uses less digits than its factorization.

21100123311093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246292678 (or 246292672 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 21100123311093 in words is "twenty-one trillion, one hundred billion, one hundred twenty-three million, three hundred eleven thousand, ninety-three".