21121110022194 has 384 divisors, whose sum is σ = 57371240908800. Its totient is φ = 5467803264000.

The previous prime is 21121110022147. The next prime is 21121110022211. The reversal of 21121110022194 is 49122001112112.

21121110022194 is a `hidden beast` number, since 211 + 211 + 10 + 0 + 221 + 9 + 4 = 666.

It is a super-2 number, since 2×21121110022194² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13868095117 + ... + 13868096639.

It is an arithmetic number, because the mean of its divisors is an integer number (149404273200).

Almost surely, 2^{21121110022194} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121110022194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28685620454400).

21121110022194 is an abundant number, since it is smaller than the sum of its proper divisors (36250130886606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21121110022194 is a wasteful number, since it uses less digits than its factorization.

21121110022194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 21121110022194 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, twenty-two thousand, one hundred ninety-four".