20110102020100 has 36 divisors (see below), whose sum is σ = 43661733571764. Its totient is φ = 8039835796480.

The previous prime is 20110102020077. The next prime is 20110102020103. The reversal of 20110102020100 is 102020101102.

It can be written as a sum of positive squares in 6 ways, for example, as 605654384644 + 19504447635456 = 778238^2 + 4416384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20110102020103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52370389 + ... + 52752988.

It is an arithmetic number, because the mean of its divisors is an integer number (1212825932549).

Almost surely, 2^{20110102020100} is an apocalyptic number.

20110102020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110102020100 is an abundant number, since it is smaller than the sum of its proper divisors (23551631551664).

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

20110102020100 is a wasteful number, since it uses less digits than its factorization.

20110102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105125304 (or 105125297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110102020100 its reverse (102020101102), we get a palindrome (20212122121202).

The spelling of 20110102020100 in words is "twenty trillion, one hundred ten billion, one hundred two million, twenty thousand, one hundred".