1001312102100 has 72 divisors (see below), whose sum is σ = 2898249222400. Its totient is φ = 266913377280.

The previous prime is 1001312102081. The next prime is 1001312102171. The reversal of 1001312102100 is 12012131001.

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 23 ways as a sum of consecutive naturals, for example, 134301 + ... + 1421499.

Almost surely, 2^{1001312102100} is an apocalyptic number.

1001312102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001312102100 is an abundant number, since it is smaller than the sum of its proper divisors (1896937120300).

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

1001312102100 is a wasteful number, since it uses less digits than its factorization.

1001312102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289809 (or 1289802 counting only the distinct ones).

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

Adding to 1001312102100 its reverse (12012131001), we get a palindrome (1013324233101).

The spelling of 1001312102100 in words is "one trillion, one billion, three hundred twelve million, one hundred two thousand, one hundred".