100021232032033 has 24 divisors (see below), whose sum is σ = 115939712512800. Its totient is φ = 85985452036224.

The previous prime is 100021232032019. The next prime is 100021232032049. The reversal of 100021232032033 is 330230232120001.

It is not a de Polignac number, because 100021232032033 - 2¹³ = 100021232023841 is a prime.

It is a super-2 number, since 2×100021232032033² (a number of 29 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 = 100021232031995 and 100021232032013.

It is not an unprimeable number, because it can be changed into a prime (100021232032333) 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 23 ways as a sum of consecutive naturals, for example, 263789860 + ... + 264168757.

It is an arithmetic number, because the mean of its divisors is an integer number (4830821354700).

Almost surely, 2^{100021232032033} is an apocalyptic number.

100021232032033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100021232032033 is a deficient number, since it is larger than the sum of its proper divisors (15918480480767).

100021232032033 is a wasteful number, since it uses less digits than its factorization.

100021232032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527958721 (or 527958708 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 100021232032033 its reverse (330230232120001), we get a palindrome (430251464152034).

The spelling of 100021232032033 in words is "one hundred trillion, twenty-one billion, two hundred thirty-two million, thirty-two thousand, thirty-three".