10010103332100 has 144 divisors (see below), whose sum is σ = 30704865762816. Its totient is φ = 2513434752000.

The previous prime is 10010103332077. The next prime is 10010103332129. The reversal of 10010103332100 is 123330101001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10010103332100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14201241 + ... + 14889440.

It is an arithmetic number, because the mean of its divisors is an integer number (213228234464).

Almost surely, 2^{10010103332100} is an apocalyptic number.

10010103332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010103332100 is an abundant number, since it is smaller than the sum of its proper divisors (20694762430716).

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

10010103332100 is a wasteful number, since it uses less digits than its factorization.

10010103332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29090766 (or 29090759 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10010103332100 its reverse (123330101001), we get a palindrome (10133433433101).

The spelling of 10010103332100 in words is "ten trillion, ten billion, one hundred three million, three hundred thirty-two thousand, one hundred".