10010321003100 has 144 divisors (see below), whose sum is σ = 32450165306496. Its totient is φ = 2361156768000.

The previous prime is 10010321003071. The next prime is 10010321003129. The reversal of 10010321003100 is 130012301001.

It is an interprime number because it is at equal distance from previous prime (10010321003071) and next prime (10010321003129).

It is a super-2 number, since 2×10010321003100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 40870206 + ... + 41114405.

It is an arithmetic number, because the mean of its divisors is an integer number (225348370184).

Almost surely, 2^{10010321003100} is an apocalyptic number.

10010321003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010321003100 is an abundant number, since it is smaller than the sum of its proper divisors (22439844303396).

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

10010321003100 is a wasteful number, since it uses less digits than its factorization.

10010321003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81984676 (or 81984669 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10010321003100 its reverse (130012301001), we get a palindrome (10140333304101).

The spelling of 10010321003100 in words is "ten trillion, ten billion, three hundred twenty-one million, three thousand, one hundred".