1121100201 has 72 divisors (see below), whose sum is σ = 1859045760. Its totient is φ = 649389312.

The previous prime is 1121100193. The next prime is 1121100289. The reversal of 1121100201 is 1020011211.

It is a happy number.

It is not a de Polignac number, because 1121100201 - 2³ = 1121100193 is a prime.

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 (1121100401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2553540 + ... + 2553978.

It is an arithmetic number, because the mean of its divisors is an integer number (25820080).

Almost surely, 2^1121100201 is an apocalyptic number.

It is an amenable number.

1121100201 is a deficient number, since it is larger than the sum of its proper divisors (737945559).

1121100201 is a wasteful number, since it uses less digits than its factorization.

1121100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1121100201 is about 33482.8344230294. The cubic root of 1121100201 is about 1038.8387559431.

Adding to 1121100201 its reverse (1020011211), we get a palindrome (2141111412).

The spelling of 1121100201 in words is "one billion, one hundred twenty-one million, one hundred thousand, two hundred one".