1121101013201 has 16 divisors (see below), whose sum is σ = 1212038131920. Its totient is φ = 1030837570560.

The previous prime is 1121101013159. The next prime is 1121101013213. The reversal of 1121101013201 is 1023101011211.

It can be written as a sum of positive squares in 8 ways, for example, as 43573201 + 1121057440000 = 6601^2 + 1058800^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121101013201 - 2³⁸ = 846223106257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121101013401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11307821 + ... + 11406533.

It is an arithmetic number, because the mean of its divisors is an integer number (75752383245).

Almost surely, 2^{1121101013201} is an apocalyptic number.

It is an amenable number.

1121101013201 is a deficient number, since it is larger than the sum of its proper divisors (90937118719).

1121101013201 is a wasteful number, since it uses less digits than its factorization.

1121101013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102116.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1121101013201 its reverse (1023101011211), we get a palindrome (2144202024412).

The spelling of 1121101013201 in words is "one trillion, one hundred twenty-one billion, one hundred one million, thirteen thousand, two hundred one".