100012010021 has 96 divisors (see below), whose sum is σ = 138341571840. Its totient is φ = 71215872000.

The previous prime is 100012010009. The next prime is 100012010023. The reversal of 100012010021 is 120010210001.

It is not a de Polignac number, because 100012010021 - 2¹⁸ = 100011747877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100012009990 and 100012010008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49048520 + ... + 49050558.

It is an arithmetic number, because the mean of its divisors is an integer number (1441058040).

Almost surely, 2^100012010021 is an apocalyptic number.

100012010021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012010021 is a deficient number, since it is larger than the sum of its proper divisors (38329561819).

100012010021 is a wasteful number, since it uses less digits than its factorization.

100012010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100012010021 its reverse (120010210001), we get a palindrome (220022220022).

It can be divided in two parts, 1000 and 12010021, that added together give a palindrome (12011021).

The spelling of 100012010021 in words is "one hundred billion, twelve million, ten thousand, twenty-one".