201024040100 has 36 divisors (see below), whose sum is σ = 469777721364. Its totient is φ = 74224260480.

The previous prime is 201024040099. The next prime is 201024040159. The reversal of 201024040100 is 1040420102.

It can be written as a sum of positive squares in 6 ways, for example, as 8371518016 + 192652522084 = 91496^2 + 438922^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77315639 + ... + 77318238.

It is an arithmetic number, because the mean of its divisors is an integer number (13049381149).

Almost surely, 2^201024040100 is an apocalyptic number.

201024040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201024040100 is an abundant number, since it is smaller than the sum of its proper divisors (268753681264).

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

201024040100 is a wasteful number, since it uses less digits than its factorization.

201024040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154633904 (or 154633897 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201024040100 its reverse (1040420102), we get a palindrome (202064460202).

The spelling of 201024040100 in words is "two hundred one billion, twenty-four million, forty thousand, one hundred".