21121111112192 has 160 divisors (see below), whose sum is σ = 51961213269504. Its totient is φ = 8352136396800.

The previous prime is 21121111112191. The next prime is 21121111112203. The reversal of 21121111112192 is 29121111112112.

It is a super-2 number, since 2×21121111112192² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (21121111112191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113638217 + ... + 113823927.

Almost surely, 2^{21121111112192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121111112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25980606634752).

21121111112192 is an abundant number, since it is smaller than the sum of its proper divisors (30840102157312).

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

21121111112192 is a wasteful number, since it uses less digits than its factorization.

21121111112192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188190 (or 188174 counting only the distinct ones).

The product of its digits is 144, while the sum is 26.

The spelling of 21121111112192 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred ninety-two".