102022201200 has 240 divisors, whose sum is σ = 333745397856. Its totient is φ = 26634240000.

The previous prime is 102022201111. The next prime is 102022201247. The reversal of 102022201200 is 2102220201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11996950 + ... + 12005450.

Almost surely, 2^102022201200 is an apocalyptic number.

102022201200 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 102022201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166872698928).

102022201200 is an abundant number, since it is smaller than the sum of its proper divisors (231723196656).

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

102022201200 is a wasteful number, since it uses less digits than its factorization.

102022201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732 (or 8721 counting only the distinct ones).

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

Adding to 102022201200 its reverse (2102220201), we get a palindrome (104124421401).

The spelling of 102022201200 in words is "one hundred two billion, twenty-two million, two hundred one thousand, two hundred".