10205263112300 has 18 divisors (see below), whose sum is σ = 22145420953908. Its totient is φ = 4082105244880.

The previous prime is 10205263112237. The next prime is 10205263112309. The reversal of 10205263112300 is 321136250201.

It is a happy number.

It is a super-2 number, since 2×10205263112300² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10205263112300.

It is not an unprimeable number, because it can be changed into a prime (10205263112309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51026315462 + ... + 51026315661.

It is an arithmetic number, because the mean of its divisors is an integer number (1230301164106).

Almost surely, 2^{10205263112300} is an apocalyptic number.

10205263112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205263112300 is an abundant number, since it is smaller than the sum of its proper divisors (11940157841608).

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

10205263112300 is a wasteful number, since it uses less digits than its factorization.

10205263112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102052631137 (or 102052631130 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 10205263112300 its reverse (321136250201), we get a palindrome (10526399362501).

The spelling of 10205263112300 in words is "ten trillion, two hundred five billion, two hundred sixty-three million, one hundred twelve thousand, three hundred".