100000021011 has 32 divisors (see below), whose sum is σ = 145975011840. Its totient is φ = 60389568000.

The previous prime is 100000021001. The next prime is 100000021021. The reversal of 100000021011 is 110120000001.

It is an interprime number because it is at equal distance from previous prime (100000021001) and next prime (100000021021).

It is not a de Polignac number, because 100000021011 - 2¹⁸ = 99999758867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100000021001) 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 31 ways as a sum of consecutive naturals, for example, 14063125 + ... + 14070233.

It is an arithmetic number, because the mean of its divisors is an integer number (4561719120).

Almost surely, 2^100000021011 is an apocalyptic number.

100000021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100000021011 is a deficient number, since it is larger than the sum of its proper divisors (45974990829).

100000021011 is a wasteful number, since it uses less digits than its factorization.

100000021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100000021011 its reverse (110120000001), we get a palindrome (210120021012).

The spelling of 100000021011 in words is "one hundred billion, twenty-one thousand, eleven".