102022011200 has 84 divisors (see below), whose sum is σ = 251198615712. Its totient is φ = 40782681600.

The previous prime is 102022011137. The next prime is 102022011227. The reversal of 102022011200 is 2110220201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2583605 + ... + 2622795.

Almost surely, 2^102022011200 is an apocalyptic number.

102022011200 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 102022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125599307856).

102022011200 is an abundant number, since it is smaller than the sum of its proper divisors (149176604512).

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

102022011200 is a wasteful number, since it uses less digits than its factorization.

102022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40840 (or 40825 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102022011200 its reverse (2110220201), we get a palindrome (104132231401).

The spelling of 102022011200 in words is "one hundred two billion, twenty-two million, eleven thousand, two hundred".