1121101211601 has 24 divisors (see below), whose sum is σ = 1914524239680. Its totient is φ = 618538598496.

The previous prime is 1121101211569. The next prime is 1121101211641. The reversal of 1121101211601 is 1061121011211.

1121101211601 is a `hidden beast` number, since 11 + 21 + 10 + 1 + 21 + 1 + 601 = 666.

It is not a de Polignac number, because 1121101211601 - 2⁵ = 1121101211569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121101211641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306812955 + ... + 306816608.

It is an arithmetic number, because the mean of its divisors is an integer number (79771843320).

Almost surely, 2^{1121101211601} is an apocalyptic number.

It is an amenable number.

1121101211601 is a deficient number, since it is larger than the sum of its proper divisors (793423028079).

1121101211601 is a wasteful number, since it uses less digits than its factorization.

1121101211601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613629605 (or 613629602 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 1121101211601 its reverse (1061121011211), we get a palindrome (2182222222812).

The spelling of 1121101211601 in words is "one trillion, one hundred twenty-one billion, one hundred one million, two hundred eleven thousand, six hundred one".