21101012111093 has 2 divisors, whose sum is σ = 21101012111094. Its totient is φ = 21101012111092.

The previous prime is 21101012111041. The next prime is 21101012111131. The reversal of 21101012111093 is 39011121010112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11458881699409 + 9642130411684 = 3385097^2 + 3105178^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101012111093 - 2¹⁴ = 21101012094709 is a prime.

It is a super-2 number, since 2×21101012111093² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101012114093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550506055546 + 10550506055547.

It is an arithmetic number, because the mean of its divisors is an integer number (10550506055547).

Almost surely, 2^{21101012111093} is an apocalyptic number.

It is an amenable number.

21101012111093 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101012111093 is an equidigital number, since it uses as much as digits as its factorization.

21101012111093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 23.

The spelling of 21101012111093 in words is "twenty-one trillion, one hundred one billion, twelve million, one hundred eleven thousand, ninety-three".