10213001344100 has 72 divisors (see below), whose sum is σ = 23126660507328. Its totient is φ = 3907435593600.

The previous prime is 10213001344087. The next prime is 10213001344103. The reversal of 10213001344100 is 144310031201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10213001344103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75765962 + ... + 75900638.

Almost surely, 2^{10213001344100} is an apocalyptic number.

10213001344100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213001344100 is an abundant number, since it is smaller than the sum of its proper divisors (12913659163228).

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

10213001344100 is a wasteful number, since it uses less digits than its factorization.

10213001344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167685 (or 167678 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10213001344100 its reverse (144310031201), we get a palindrome (10357311375301).

The spelling of 10213001344100 in words is "ten trillion, two hundred thirteen billion, one million, three hundred forty-four thousand, one hundred".