102210212000 has 384 divisors, whose sum is σ = 279604555776. Its totient is φ = 36480000000.

The previous prime is 102210211993. The next prime is 102210212023. The reversal of 102210212000 is 212012201.

It is a happy number.

102210212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407211875 + ... + 407212125.

It is an arithmetic number, because the mean of its divisors is an integer number (728136864).

Almost surely, 2^102210212000 is an apocalyptic number.

102210212000 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 102210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139802277888).

102210212000 is an abundant number, since it is smaller than the sum of its proper divisors (177394343776).

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

102210212000 is a wasteful number, since it uses less digits than its factorization.

102210212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

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

Adding to 102210212000 its reverse (212012201), we get a palindrome (102422224201).

The spelling of 102210212000 in words is "one hundred two billion, two hundred ten million, two hundred twelve thousand".