102210021200000 has 768 divisors, whose sum is σ = 312434690400000. Its totient is φ = 33198197760000.

The previous prime is 102210021199921. The next prime is 102210021200047. The reversal of 102210021200000 is 2120012201.

It is a happy number.

102210021200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102210021200000³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2606780396 + ... + 2606819604.

It is an arithmetic number, because the mean of its divisors is an integer number (406816003125).

Almost surely, 2^{102210021200000} is an apocalyptic number.

102210021200000 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 102210021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156217345200000).

102210021200000 is an abundant number, since it is smaller than the sum of its proper divisors (210224669200000).

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

102210021200000 is an frugal number, since it uses more digits than its factorization.

102210021200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39288 (or 39242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102210021200000 its reverse (2120012201), we get a palindrome (102212141212201).

The spelling of 102210021200000 in words is "one hundred two trillion, two hundred ten billion, twenty-one million, two hundred thousand".