102221121202110 has 128 divisors (see below), whose sum is σ = 273998951424000. Its totient is φ = 27118075691520.

The previous prime is 102221121202097. The next prime is 102221121202111. The reversal of 102221121202110 is 11202121122201.

102221121202110 is a `hidden beast` number, since 1 + 0 + 222 + 112 + 120 + 211 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221121202111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382477747 + ... + 382744913.

It is an arithmetic number, because the mean of its divisors is an integer number (2140616808000).

Almost surely, 2^{102221121202110} is an apocalyptic number.

102221121202110 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 102221121202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136999475712000).

102221121202110 is an abundant number, since it is smaller than the sum of its proper divisors (171777830221890).

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

102221121202110 is a wasteful number, since it uses less digits than its factorization.

102221121202110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274503 (or 274497 counting only the distinct ones).

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

Adding to 102221121202110 its reverse (11202121122201), we get a palindrome (113423242324311).

The spelling of 102221121202110 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred two thousand, one hundred ten".