20100102022033 has 32 divisors (see below), whose sum is σ = 22817052466560. Its totient is φ = 17538871042560.

The previous prime is 20100102021959. The next prime is 20100102022073. The reversal of 20100102022033 is 33022020100102.

It is not a de Polignac number, because 20100102022033 - 2¹³ = 20100102013841 is a prime.

It is a super-2 number, since 2×20100102022033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20100102021998 and 20100102022016.

It is not an unprimeable number, because it can be changed into a prime (20100102022073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872881266 + ... + 872904292.

It is an arithmetic number, because the mean of its divisors is an integer number (713032889580).

Almost surely, 2^{20100102022033} is an apocalyptic number.

It is an amenable number.

20100102022033 is a deficient number, since it is larger than the sum of its proper divisors (2716950444527).

20100102022033 is a wasteful number, since it uses less digits than its factorization.

20100102022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39057.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20100102022033 its reverse (33022020100102), we get a palindrome (53122122122135).

The spelling of 20100102022033 in words is "twenty trillion, one hundred billion, one hundred two million, twenty-two thousand, thirty-three".