20001022002100 has 36 divisors (see below), whose sum is σ = 43925136048864. Its totient is φ = 7904018330080.

The previous prime is 20001022001971. The next prime is 20001022002109. The reversal of 20001022002100 is 120022010002.

It is a super-2 number, since 2×20001022002100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001022002109) 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 11 ways as a sum of consecutive naturals, for example, 1204872544 + ... + 1204889143.

It is an arithmetic number, because the mean of its divisors is an integer number (1220142668024).

Almost surely, 2^{20001022002100} is an apocalyptic number.

20001022002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001022002100 is an abundant number, since it is smaller than the sum of its proper divisors (23924114046764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20001022002100 is a wasteful number, since it uses less digits than its factorization.

20001022002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409761784 (or 2409761777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20001022002100 its reverse (120022010002), we get a palindrome (20121044012102).

The spelling of 20001022002100 in words is "twenty trillion, one billion, twenty-two million, two thousand, one hundred".