21010102121091 has 64 divisors (see below), whose sum is σ = 29545489290240. Its totient is φ = 13254556170240.

The previous prime is 21010102121059. The next prime is 21010102121123. The reversal of 21010102121091 is 19012120101012.

It is an interprime number because it is at equal distance from previous prime (21010102121059) and next prime (21010102121123).

It is not a de Polignac number, because 21010102121091 - 2⁵ = 21010102121059 is a prime.

It is a super-2 number, since 2×21010102121091² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21010102121791) 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 63 ways as a sum of consecutive naturals, for example, 4153012320 + ... + 4153017378.

It is an arithmetic number, because the mean of its divisors is an integer number (461648270160).

Almost surely, 2^{21010102121091} is an apocalyptic number.

21010102121091 is a deficient number, since it is larger than the sum of its proper divisors (8535387169149).

21010102121091 is a wasteful number, since it uses less digits than its factorization.

21010102121091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 21010102121091 in words is "twenty-one trillion, ten billion, one hundred two million, one hundred twenty-one thousand, ninety-one".