102112012221210 has 144 divisors (see below), whose sum is σ = 277583826540384. Its totient is φ = 26041493193408.

The previous prime is 102112012221199. The next prime is 102112012221217. The reversal of 102112012221210 is 12122210211201.

102112012221210 is a `hidden beast` number, since 1 + 0 + 211 + 20 + 1 + 2 + 221 + 210 = 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 (102112012221217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 281812977 + ... + 282175083.

It is an arithmetic number, because the mean of its divisors is an integer number (1927665462086).

Almost surely, 2^{102112012221210} is an apocalyptic number.

102112012221210 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 102112012221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138791913270192).

102112012221210 is an abundant number, since it is smaller than the sum of its proper divisors (175471814319174).

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

102112012221210 is a wasteful number, since it uses less digits than its factorization.

102112012221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368089 (or 368063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112012221210 its reverse (12122210211201), we get a palindrome (114234222432411).

The spelling of 102112012221210 in words is "one hundred two trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, two hundred ten".