102200022222210 has 160 divisors (see below), whose sum is σ = 299812490683200. Its totient is φ = 24773634138240.

The previous prime is 102200022222161. The next prime is 102200022222211. The reversal of 102200022222210 is 12222220002201.

102200022222210 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 0 + 2 + 222 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102200022222211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104463996 + ... + 105437784.

It is an arithmetic number, because the mean of its divisors is an integer number (1873828066770).

Almost surely, 2^{102200022222210} is an apocalyptic number.

102200022222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200022222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149906245341600).

102200022222210 is an abundant number, since it is smaller than the sum of its proper divisors (197612468460990).

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

102200022222210 is a wasteful number, since it uses less digits than its factorization.

102200022222210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985598 (or 985589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102200022222210 its reverse (12222220002201), we get a palindrome (114422242224411).

The spelling of 102200022222210 in words is "one hundred two trillion, two hundred billion, twenty-two million, two hundred twenty-two thousand, two hundred ten".