102210211012200 has 192 divisors, whose sum is σ = 322851763128960. Its totient is φ = 26739987256320.

The previous prime is 102210211012163. The next prime is 102210211012277. The reversal of 102210211012200 is 2210112012201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102210211012200.

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, 508922202 + ... + 509122998.

It is an arithmetic number, because the mean of its divisors is an integer number (1681519599630).

Almost surely, 2^{102210211012200} is an apocalyptic number.

102210211012200 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 102210211012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161425881564480).

102210211012200 is an abundant number, since it is smaller than the sum of its proper divisors (220641552116760).

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

102210211012200 is a wasteful number, since it uses less digits than its factorization.

102210211012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216876 (or 216867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210211012200 its reverse (2210112012201), we get a palindrome (104420323024401).

The spelling of 102210211012200 in words is "one hundred two trillion, two hundred ten billion, two hundred eleven million, twelve thousand, two hundred".