20101000200100 has 36 divisors (see below), whose sum is σ = 43624735096068. Its totient is φ = 8039374336000.

The previous prime is 20101000200077. The next prime is 20101000200101. The reversal of 20101000200100 is 100200010102.

It can be written as a sum of positive squares in 6 ways, for example, as 4670889178176 + 15430111021924 = 2161224^2 + 3928118^2 .

It is not an unprimeable number, because it can be changed into a prime (20101000200101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12033781 + ... + 13601980.

It is an arithmetic number, because the mean of its divisors is an integer number (1211798197113).

Almost surely, 2^{20101000200100} is an apocalyptic number.

20101000200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101000200100 is an abundant number, since it is smaller than the sum of its proper divisors (23523734895968).

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

20101000200100 is a wasteful number, since it uses less digits than its factorization.

20101000200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25643616 (or 25643609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20101000200100 its reverse (100200010102), we get a palindrome (20201200210202).

The spelling of 20101000200100 in words is "twenty trillion, one hundred one billion, two hundred thousand, one hundred".