102266552635500 has 768 divisors, whose sum is σ = 342795608064000. Its totient is φ = 23462764416000.

The previous prime is 102266552635477. The next prime is 102266552635553. The reversal of 102266552635500 is 5536255662201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102266552635500.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5254398769 + ... + 5254418231.

It is an arithmetic number, because the mean of its divisors is an integer number (446348448000).

Almost surely, 2^{102266552635500} is an apocalyptic number.

102266552635500 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 102266552635500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171397804032000).

102266552635500 is an abundant number, since it is smaller than the sum of its proper divisors (240529055428500).

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

102266552635500 is a wasteful number, since it uses less digits than its factorization.

102266552635500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19743 (or 19731 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 102266552635500 in words is "one hundred two trillion, two hundred sixty-six billion, five hundred fifty-two million, six hundred thirty-five thousand, five hundred".