102201210100260 has 144 divisors (see below), whose sum is σ = 311163686097264. Its totient is φ = 27152353972224.

The previous prime is 102201210100243. The next prime is 102201210100261. The reversal of 102201210100260 is 62001012102201.

102201210100260 is a `hidden beast` number, since 102 + 201 + 2 + 1 + 0 + 100 + 260 = 666.

102201210100260 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9278859238884 + 92922350861376 = 3046122^2 + 9639624^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102201210100261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107304294 + ... + 108252546.

It is an arithmetic number, because the mean of its divisors is an integer number (2160858931231).

Almost surely, 2^{102201210100260} is an apocalyptic number.

102201210100260 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 102201210100260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155581843048632).

102201210100260 is an abundant number, since it is smaller than the sum of its proper divisors (208962475997004).

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

102201210100260 is a wasteful number, since it uses less digits than its factorization.

102201210100260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950494 (or 950489 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102201210100260 its reverse (62001012102201), we get a palindrome (164202222202461).

The spelling of 102201210100260 in words is "one hundred two trillion, two hundred one billion, two hundred ten million, one hundred thousand, two hundred sixty".