100212031131003 has 48 divisors (see below), whose sum is σ = 158019437397120. Its totient is φ = 60692436604800.

The previous prime is 100212031130987. The next prime is 100212031131013. The reversal of 100212031131003 is 300131130212001.

100212031131003 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 20 + 311 + 310 + 0 + 3 = 666.

It is not a de Polignac number, because 100212031131003 - 2⁴ = 100212031130987 is a prime.

It is a super-2 number, since 2×100212031131003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212031131013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862864248 + ... + 862980378.

It is an arithmetic number, because the mean of its divisors is an integer number (3292071612440).

Almost surely, 2^{100212031131003} is an apocalyptic number.

100212031131003 is a deficient number, since it is larger than the sum of its proper divisors (57807406266117).

100212031131003 is a wasteful number, since it uses less digits than its factorization.

100212031131003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122120 (or 122117 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100212031131003 its reverse (300131130212001), we get a palindrome (400343161343004).

It can be divided in two parts, 1002120 and 31131003, that added together give a palindrome (32133123).

The spelling of 100212031131003 in words is "one hundred trillion, two hundred twelve billion, thirty-one million, one hundred thirty-one thousand, three".