201025044100 has 36 divisors (see below), whose sum is σ = 448014201124. Its totient is φ = 78236772480.

The previous prime is 201025044067. The next prime is 201025044113. The reversal of 201025044100 is 1440520102.

201025044100 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 11967047236 + 189057996864 = 109394^2 + 434808^2 .

It is a super-2 number, since 2×201025044100² (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 27161847 + ... + 27169246.

Almost surely, 2^201025044100 is an apocalyptic number.

201025044100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201025044100 is an abundant number, since it is smaller than the sum of its proper divisors (246989157024).

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

201025044100 is a wasteful number, since it uses less digits than its factorization.

201025044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54331144 (or 54331137 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 201025044100 its reverse (1440520102), we get a palindrome (202465564202).

The spelling of 201025044100 in words is "two hundred one billion, twenty-five million, forty-four thousand, one hundred".