102111221200000 has 384 divisors, whose sum is σ = 268029601257600. Its totient is φ = 38639462400000.

The previous prime is 102111221199979. The next prime is 102111221200031. The reversal of 102111221200000 is 2122111201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5525190760 + ... + 5525209240.

It is an arithmetic number, because the mean of its divisors is an integer number (697993753275).

Almost surely, 2^{102111221200000} is an apocalyptic number.

102111221200000 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 102111221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134014800628800).

102111221200000 is an abundant number, since it is smaller than the sum of its proper divisors (165918380057600).

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

102111221200000 is an frugal number, since it uses more digits than its factorization.

102111221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19266 (or 19234 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102111221200000 its reverse (2122111201), we get a palindrome (102113343311201).

The spelling of 102111221200000 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, two hundred thousand".