1201040100 has 108 divisors (see below), whose sum is σ = 4054217076. Its totient is φ = 295637760.

The previous prime is 1201040083. The next prime is 1201040107. The reversal of 1201040100 is 10401021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 94945536 + 1106094564 = 9744^2 + 33258^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1201040107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39627 + ... + 63026.

It is an arithmetic number, because the mean of its divisors is an integer number (37539047).

Almost surely, 2^1201040100 is an apocalyptic number.

1201040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201040100 is an abundant number, since it is smaller than the sum of its proper divisors (2853176976).

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

1201040100 is a wasteful number, since it uses less digits than its factorization.

1201040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102686 (or 102676 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201040100 is about 34656.0254501292. The cubic root of 1201040100 is about 1062.9655002938.

Adding to 1201040100 its reverse (10401021), we get a palindrome (1211441121).

The spelling of 1201040100 in words is "one billion, two hundred one million, forty thousand, one hundred".