100211125002345 has 256 divisors, whose sum is σ = 213013716572160. Its totient is φ = 44297789276160.

The previous prime is 100211125002319. The next prime is 100211125002353. The reversal of 100211125002345 is 543200521112001.

It is a happy number.

100211125002345 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 112 + 500 + 2 + 3 + 45 = 666.

It is not a de Polignac number, because 100211125002345 - 2²² = 100211120808041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 354491697 + ... + 354774273.

It is an arithmetic number, because the mean of its divisors is an integer number (832084830360).

Almost surely, 2^{100211125002345} is an apocalyptic number.

100211125002345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100211125002345 is an abundant number, since it is smaller than the sum of its proper divisors (112802591569815).

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

100211125002345 is an equidigital number, since it uses as much as digits as its factorization.

100211125002345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282764 (or 282746 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 100211125002345 its reverse (543200521112001), we get a palindrome (643411646114346).

The spelling of 100211125002345 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-five million, two thousand, three hundred forty-five".