20001022100100 has 288 divisors, whose sum is σ = 64466850940800. Its totient is φ = 5319745113600.

The previous prime is 20001022099987. The next prime is 20001022100113. The reversal of 20001022100100 is 100122010002.

It is a super-2 number, since 2×20001022100100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2763713682 + ... + 2763720918.

Almost surely, 2^{20001022100100} is an apocalyptic number.

20001022100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001022100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32233425470400).

20001022100100 is an abundant number, since it is smaller than the sum of its proper divisors (44465828840700).

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

20001022100100 is a wasteful number, since it uses less digits than its factorization.

20001022100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20001022100100 its reverse (100122010002), we get a palindrome (20101144110102).

The spelling of 20001022100100 in words is "twenty trillion, one billion, twenty-two million, one hundred thousand, one hundred".