100021202122033 has 8 divisors (see below), whose sum is σ = 100190400649416. Its totient is φ = 99852005376000.

The previous prime is 100021202121989. The next prime is 100021202122069. The reversal of 100021202122033 is 330221202120001.

It can be written as a sum of positive squares in 4 ways, for example, as 43442177380624 + 56579024741409 = 6591068^2 + 7521903^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100021202122033 - 2³⁷ = 99883763168561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100021202122033.

It is not an unprimeable number, because it can be changed into a prime (100021202123033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161937153 + ... + 162553633.

It is an arithmetic number, because the mean of its divisors is an integer number (12523800081177).

Almost surely, 2^{100021202122033} is an apocalyptic number.

It is an amenable number.

100021202122033 is a deficient number, since it is larger than the sum of its proper divisors (169198527383).

100021202122033 is an equidigital number, since it uses as much as digits as its factorization.

100021202122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890675.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100021202122033 its reverse (330221202120001), we get a palindrome (430242404242034).

The spelling of 100021202122033 in words is "one hundred trillion, twenty-one billion, two hundred two million, one hundred twenty-two thousand, thirty-three".