102211201120000 has 1440 divisors, whose sum is σ = 311487652044800. Its totient is φ = 33408184320000.

The previous prime is 102211201119971. The next prime is 102211201120003. The reversal of 102211201120000 is 21102112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211201120003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124193439589 + ... + 124193440411.

Almost surely, 2^{102211201120000} is an apocalyptic number.

102211201120000 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 102211201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155743826022400).

102211201120000 is an abundant number, since it is smaller than the sum of its proper divisors (209276450924800).

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

102211201120000 is an frugal number, since it uses more digits than its factorization.

102211201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 941 counting only the distinct ones).

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

Adding to 102211201120000 its reverse (21102112201), we get a palindrome (102232303232201).

The spelling of 102211201120000 in words is "one hundred two trillion, two hundred eleven billion, two hundred one million, one hundred twenty thousand".