102012212022210 has 192 divisors, whose sum is σ = 306144356993280. Its totient is φ = 23084620070400.

The previous prime is 102012212022169. The next prime is 102012212022223. The reversal of 102012212022210 is 12220212210201.

It is a happy number.

102012212022210 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 221 + 202 + 221 + 0 = 666.

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

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, 1089489676 + ... + 1089583304.

It is an arithmetic number, because the mean of its divisors is an integer number (1594501859340).

Almost surely, 2^{102012212022210} is an apocalyptic number.

102012212022210 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 102012212022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153072178496640).

102012212022210 is an abundant number, since it is smaller than the sum of its proper divisors (204132144971070).

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

102012212022210 is a wasteful number, since it uses less digits than its factorization.

102012212022210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110873 (or 110870 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102012212022210 its reverse (12220212210201), we get a palindrome (114232424232411).

The spelling of 102012212022210 in words is "one hundred two trillion, twelve billion, two hundred twelve million, twenty-two thousand, two hundred ten".