100021133011 has 16 divisors (see below), whose sum is σ = 103727038464. Its totient is φ = 96385598784.

The previous prime is 100021132993. The next prime is 100021133033. The reversal of 100021133011 is 110331120001.

It is a cyclic number.

It is not a de Polignac number, because 100021133011 - 2²⁹ = 99484262099 is a prime.

It is a super-2 number, since 2×100021133011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100021132982 and 100021133000.

It is not an unprimeable number, because it can be changed into a prime (100021131011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1989166 + ... + 2038828.

It is an arithmetic number, because the mean of its divisors is an integer number (6482939904).

Almost surely, 2^100021133011 is an apocalyptic number.

100021133011 is a deficient number, since it is larger than the sum of its proper divisors (3705905453).

100021133011 is an equidigital number, since it uses as much as digits as its factorization.

100021133011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50370.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100021133011 its reverse (110331120001), we get a palindrome (210352253012).

The spelling of 100021133011 in words is "one hundred billion, twenty-one million, one hundred thirty-three thousand, eleven".