102201221100000 has 576 divisors, whose sum is σ = 366466917116160. Its totient is φ = 24731596800000.

The previous prime is 102201221099993. The next prime is 102201221100007. The reversal of 102201221100000 is 1122102201.

It is an interprime number because it is at equal distance from previous prime (102201221099993) and next prime (102201221100007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201221100007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1857872496 + ... + 1857927504.

It is an arithmetic number, because the mean of its divisors is an integer number (636227286660).

Almost surely, 2^{102201221100000} is an apocalyptic number.

102201221100000 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 102201221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183233458558080).

102201221100000 is an abundant number, since it is smaller than the sum of its proper divisors (264265696016160).

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

102201221100000 is an equidigital number, since it uses as much as digits as its factorization.

102201221100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55621 (or 55593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201221100000 its reverse (1122102201), we get a palindrome (102202343202201).

The spelling of 102201221100000 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred thousand".