102021022221210 has 192 divisors, whose sum is σ = 279842661989280. Its totient is φ = 25747541514240.

The previous prime is 102021022221049. The next prime is 102021022221253. The reversal of 102021022221210 is 12122220120201.

It is a happy number.

102021022221210 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 210 + 22 + 221 + 210 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 18536563878921 + 83484458342289 = 4305411^2 + 9136983^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146420572 + ... + 147115688.

Almost surely, 2^{102021022221210} is an apocalyptic number.

102021022221210 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 102021022221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139921330994640).

102021022221210 is an abundant number, since it is smaller than the sum of its proper divisors (177821639768070).

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

102021022221210 is a wasteful number, since it uses less digits than its factorization.

102021022221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696273 (or 696270 counting only the distinct ones).

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

Adding to 102021022221210 its reverse (12122220120201), we get a palindrome (114143242341411).

The spelling of 102021022221210 in words is "one hundred two trillion, twenty-one billion, twenty-two million, two hundred twenty-one thousand, two hundred ten".