102021223444200 has 288 divisors, whose sum is σ = 351844353020160. Its totient is φ = 26479702310400.

The previous prime is 102021223444183. The next prime is 102021223444223. The reversal of 102021223444200 is 2444322120201.

It is a happy number.

102021223444200 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 1 + 2 + 234 + 4 + 420 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11981317 + ... + 18643883.

It is an arithmetic number, because the mean of its divisors is an integer number (1221681781320).

Almost surely, 2^{102021223444200} is an apocalyptic number.

102021223444200 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 102021223444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175922176510080).

102021223444200 is an abundant number, since it is smaller than the sum of its proper divisors (249823129575960).

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

102021223444200 is a wasteful number, since it uses less digits than its factorization.

102021223444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662817 (or 6662805 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102021223444200 its reverse (2444322120201), we get a palindrome (104465545564401).

The spelling of 102021223444200 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-three million, four hundred forty-four thousand, two hundred".