121101110001 has 24 divisors (see below), whose sum is σ = 179923610984. Its totient is φ = 78433090560.

The previous prime is 121101109957. The next prime is 121101110021. The reversal of 121101110001 is 100011101121.

It can be written as a sum of positive squares in 4 ways, for example, as 38488554225 + 82612555776 = 196185^2 + 287424^2 .

It is not a de Polignac number, because 121101110001 - 2¹³ = 121101101809 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121101110021) 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, 54976 + ... + 495201.

Almost surely, 2^121101110001 is an apocalyptic number.

It is an amenable number.

121101110001 is a deficient number, since it is larger than the sum of its proper divisors (58822500983).

121101110001 is a wasteful number, since it uses less digits than its factorization.

121101110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550881 (or 550878 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 121101110001 its reverse (100011101121), we get a palindrome (221112211122).

The spelling of 121101110001 in words is "one hundred twenty-one billion, one hundred one million, one hundred ten thousand, one".