102220211010200 has 288 divisors, whose sum is σ = 255897949496400. Its totient is φ = 37868692608000.

The previous prime is 102220211010193. The next prime is 102220211010217. The reversal of 102220211010200 is 2010112022201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7898935730 + ... + 7898948670.

Almost surely, 2^{102220211010200} is an apocalyptic number.

102220211010200 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 102220211010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127948974748200).

102220211010200 is an abundant number, since it is smaller than the sum of its proper divisors (153677738486200).

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

102220211010200 is a wasteful number, since it uses less digits than its factorization.

102220211010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14011 (or 13955 counting only the distinct ones).

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

Adding to 102220211010200 its reverse (2010112022201), we get a palindrome (104230323032401).

The spelling of 102220211010200 in words is "one hundred two trillion, two hundred twenty billion, two hundred eleven million, ten thousand, two hundred".