102012220202200 has 384 divisors, whose sum is σ = 298799164915200. Its totient is φ = 31463447040000.

The previous prime is 102012220202149. The next prime is 102012220202231. The reversal of 102012220202200 is 2202022210201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2903914236 + ... + 2903949364.

It is an arithmetic number, because the mean of its divisors is an integer number (778122825300).

Almost surely, 2^{102012220202200} is an apocalyptic number.

102012220202200 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 102012220202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149399582457600).

102012220202200 is an abundant number, since it is smaller than the sum of its proper divisors (196786944713000).

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

102012220202200 is a wasteful number, since it uses less digits than its factorization.

102012220202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37131 (or 37122 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102012220202200 its reverse (2202022210201), we get a palindrome (104214242412401).

The spelling of 102012220202200 in words is "one hundred two trillion, twelve billion, two hundred twenty million, two hundred two thousand, two hundred".