20001002120100 has 252 divisors, whose sum is σ = 65804677801380. Its totient is φ = 5273670758400.

The previous prime is 20001002120081. The next prime is 20001002120111. The reversal of 20001002120100 is 102120010002.

It can be written as a sum of positive squares in 6 ways, for example, as 557982108324 + 19443020011776 = 746982^2 + 4409424^2 .

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 83 ways as a sum of consecutive naturals, for example, 4946740 + ... + 8029460.

It is an arithmetic number, because the mean of its divisors is an integer number (261129673815).

Almost surely, 2^{20001002120100} is an apocalyptic number.

20001002120100 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 20001002120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32902338900690).

20001002120100 is an abundant number, since it is smaller than the sum of its proper divisors (45803675681280).

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

20001002120100 is a wasteful number, since it uses less digits than its factorization.

20001002120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082842 (or 3082820 counting only the distinct ones).

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

Adding to 20001002120100 its reverse (102120010002), we get a palindrome (20103122130102).

The spelling of 20001002120100 in words is "twenty trillion, one billion, two million, one hundred twenty thousand, one hundred".