21101112122112 has 216 divisors, whose sum is σ = 70274744663760. Its totient is φ = 6018142371840.

The previous prime is 21101112122059. The next prime is 21101112122119. The reversal of 21101112122112 is 21122121110112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21101112122119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24057037 + ... + 24918732.

It is an arithmetic number, because the mean of its divisors is an integer number (325346040110).

Almost surely, 2^{21101112122112} is an apocalyptic number.

21101112122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21101112122112 is an abundant number, since it is smaller than the sum of its proper divisors (49173632541648).

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

21101112122112 is a wasteful number, since it uses less digits than its factorization.

21101112122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48975819 (or 48975802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21101112122112 its reverse (21122121110112), we get a palindrome (42223233232224).

The spelling of 21101112122112 in words is "twenty-one trillion, one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".