201032000100 has 108 divisors (see below), whose sum is σ = 647154111604. Its totient is φ = 52159645440.

The previous prime is 201032000093. The next prime is 201032000111. The reversal of 201032000100 is 1000230102.

It is a happy number.

201032000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6693857856 + 194338142244 = 81816^2 + 440838^2 .

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2985199 + ... + 3051798.

Almost surely, 2^201032000100 is an apocalyptic number.

201032000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201032000100 is an abundant number, since it is smaller than the sum of its proper divisors (446122111504).

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

201032000100 is a wasteful number, since it uses less digits than its factorization.

201032000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037054 (or 6037044 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 201032000100 its reverse (1000230102), we get a palindrome (202032230202).

The spelling of 201032000100 in words is "two hundred one billion, thirty-two million, one hundred", and thus it is an aban number.