102022121100200 has 192 divisors, whose sum is σ = 272892129321600. Its totient is φ = 34746554649600.

The previous prime is 102022121100167. The next prime is 102022121100217. The reversal of 102022121100200 is 2001121220201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 235598282 + ... + 236030918.

It is an arithmetic number, because the mean of its divisors is an integer number (1421313173550).

Almost surely, 2^{102022121100200} is an apocalyptic number.

102022121100200 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 102022121100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136446064660800).

102022121100200 is an abundant number, since it is smaller than the sum of its proper divisors (170870008221400).

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

102022121100200 is a wasteful number, since it uses less digits than its factorization.

102022121100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433780 (or 433771 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102022121100200 its reverse (2001121220201), we get a palindrome (104023242320401).

The spelling of 102022121100200 in words is "one hundred two trillion, twenty-two billion, one hundred twenty-one million, one hundred thousand, two hundred".