11122000211101 has 8 divisors (see below), whose sum is σ = 11977605239544. Its totient is φ = 10266404689920.

The previous prime is 11122000211083. The next prime is 11122000211159. The reversal of 11122000211101 is 10111200022111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2732577608601 + 8389422602500 = 1653051^2 + 2896450^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11122000211101 - 2²⁷ = 11121865993373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122000211171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152565 + ... + 4718821.

It is an arithmetic number, because the mean of its divisors is an integer number (1497200654943).

Almost surely, 2^{11122000211101} is an apocalyptic number.

It is an amenable number.

11122000211101 is a deficient number, since it is larger than the sum of its proper divisors (855605028443).

11122000211101 is a wasteful number, since it uses less digits than its factorization.

11122000211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753631.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11122000211101 its reverse (10111200022111), we get a palindrome (21233200233212).

The spelling of 11122000211101 in words is "eleven trillion, one hundred twenty-two billion, two hundred eleven thousand, one hundred one".