102210120210000 has 1600 divisors, whose sum is σ = 382201400401920. Its totient is φ = 23287080960000.

The previous prime is 102210120209999. The next prime is 102210120210017. The reversal of 102210120210000 is 12021012201.

It is a super-3 number, since 3×102210120210000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 223654529772 + ... + 223654530228.

Almost surely, 2^{102210120210000} is an apocalyptic number.

102210120210000 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 102210120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191100700200960).

102210120210000 is an abundant number, since it is smaller than the sum of its proper divisors (279991280191920).

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

102210120210000 is a wasteful number, since it uses less digits than its factorization.

102210120210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102210120210000 its reverse (12021012201), we get a palindrome (102222141222201).

The spelling of 102210120210000 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty million, two hundred ten thousand".