102012212121210 has 48 divisors (see below), whose sum is σ = 265272880602600. Its totient is φ = 27199038197760.

The previous prime is 102012212121187. The next prime is 102012212121217. The reversal of 102012212121210 is 12121212210201.

102012212121210 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 221 + 212 + 1 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76644439411761 + 25367772709449 = 8754681^2 + 5036643^2 .

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 (102012212121217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87299031 + ... + 88459850.

Almost surely, 2^{102012212121210} is an apocalyptic number.

102012212121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102012212121210 is an abundant number, since it is smaller than the sum of its proper divisors (163260668481390).

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

102012212121210 is a wasteful number, since it uses less digits than its factorization.

102012212121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175765343 (or 175765340 counting only the distinct ones).

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

Adding to 102012212121210 its reverse (12121212210201), we get a palindrome (114133424331411).

The spelling of 102012212121210 in words is "one hundred two trillion, twelve billion, two hundred twelve million, one hundred twenty-one thousand, two hundred ten".