121131011001 has 48 divisors (see below), whose sum is σ = 220722280128. Its totient is φ = 58084790400.

The previous prime is 121131010963. The next prime is 121131011003. The reversal of 121131011001 is 100110131121.

It is not a de Polignac number, because 121131011001 - 2⁷ = 121131010873 is a prime.

It is a super-2 number, since 2×121131011001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121131011003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2860170 + ... + 2902211.

It is an arithmetic number, because the mean of its divisors is an integer number (4598380836).

Almost surely, 2^121131011001 is an apocalyptic number.

121131011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121131011001 is a deficient number, since it is larger than the sum of its proper divisors (99591269127).

121131011001 is a wasteful number, since it uses less digits than its factorization.

121131011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762422 (or 5762415 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 121131011001 its reverse (100110131121), we get a palindrome (221241142122).

The spelling of 121131011001 in words is "one hundred twenty-one billion, one hundred thirty-one million, eleven thousand, one".