102022120200 has 768 divisors, whose sum is σ = 436212080640. Its totient is φ = 19035648000.

The previous prime is 102022120181. The next prime is 102022120201. The reversal of 102022120200 is 2021220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102022120201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22219905 + ... + 22224495.

It is an arithmetic number, because the mean of its divisors is an integer number (567984480).

Almost surely, 2^102022120200 is an apocalyptic number.

102022120200 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 102022120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218106040320).

102022120200 is an abundant number, since it is smaller than the sum of its proper divisors (334189960440).

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

102022120200 is a wasteful number, since it uses less digits than its factorization.

102022120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102022120200 its reverse (2021220201), we get a palindrome (104043340401).

It can be divided in two parts, 102022 and 120200, that added together give a palindrome (222222).

The spelling of 102022120200 in words is "one hundred two billion, twenty-two million, one hundred twenty thousand, two hundred".