102021022222200 has 192 divisors, whose sum is σ = 351677963788800. Its totient is φ = 27184530787200.

The previous prime is 102021022222199. The next prime is 102021022222247. The reversal of 102021022222200 is 2222220120201.

102021022222200 is a `hidden beast` number, since 10 + 2 + 0 + 210 + 2 + 222 + 220 + 0 = 666.

102021022222200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345712 + ... + 14288511.

It is an arithmetic number, because the mean of its divisors is an integer number (1831656061400).

Almost surely, 2^{102021022222200} is an apocalyptic number.

102021022222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021022222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175838981894400).

102021022222200 is an abundant number, since it is smaller than the sum of its proper divisors (249656941566600).

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

102021022222200 is a wasteful number, since it uses less digits than its factorization.

102021022222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14635539 (or 14635524 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102021022222200 its reverse (2222220120201), we get a palindrome (104243242342401).

The spelling of 102021022222200 in words is "one hundred two trillion, twenty-one billion, twenty-two million, two hundred twenty-two thousand, two hundred".