102212121112000 has 224 divisors, whose sum is σ = 253713478449600. Its totient is φ = 40790407680000.

The previous prime is 102212121111899. The next prime is 102212121112009. The reversal of 102212121112000 is 211121212201.

It is a super-2 number, since 2×102212121112000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212121112009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12858484026 + ... + 12858491974.

Almost surely, 2^{102212121112000} is an apocalyptic number.

102212121112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126856739224800).

102212121112000 is an abundant number, since it is smaller than the sum of its proper divisors (151501357337600).

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

102212121112000 is an equidigital number, since it uses as much as digits as its factorization.

102212121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212121112000 its reverse (211121212201), we get a palindrome (102423242324201).

The spelling of 102212121112000 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand".