11291400121 has 3 divisors (see below), whose sum is σ = 11291506383. Its totient is φ = 11291293860.

The previous prime is 11291400101. The next prime is 11291400167. The reversal of 11291400121 is 12100419211.

The square root of 11291400121 is 106261.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 212521 + 11291187600 = 461^2 + 106260^2 .

It is not a de Polignac number, because 11291400121 - 2⁷ = 11291399993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11291400092 and 11291400101.

It is not an unprimeable number, because it can be changed into a prime (11291400101) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 53131 + ... + 159391.

It is an arithmetic number, because the mean of its divisors is an integer number (3763835461).

Almost surely, 2^11291400121 is an apocalyptic number.

11291400121 is the 106261-st square number.

11291400121 is the 53131-st centered octagonal number.

It is an amenable number.

11291400121 is a deficient number, since it is larger than the sum of its proper divisors (106262).

11291400121 is an frugal number, since it uses more digits than its factorization.

11291400121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212522 (or 106261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

Multiplying 11291400121 by its product of nonzero digits (144), we get a square (1625961617424 = 1275132²).

Adding to 11291400121 its reverse (12100419211), we get a palindrome (23391819332).

The spelling of 11291400121 in words is "eleven billion, two hundred ninety-one million, four hundred thousand, one hundred twenty-one".