11000122000101 has 96 divisors (see below), whose sum is σ = 18075251201280. Its totient is φ = 6390490982400.

The previous prime is 11000122000097. The next prime is 11000122000103. The reversal of 11000122000101 is 10100022100011.

It is a happy number.

It is not a de Polignac number, because 11000122000101 - 2² = 11000122000097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000122000103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2090877811 + ... + 2090883071.

It is an arithmetic number, because the mean of its divisors is an integer number (188283866680).

Almost surely, 2^{11000122000101} is an apocalyptic number.

It is an amenable number.

11000122000101 is a deficient number, since it is larger than the sum of its proper divisors (7075129201179).

11000122000101 is a wasteful number, since it uses less digits than its factorization.

11000122000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000122000101 its reverse (10100022100011), we get a palindrome (21100144100112).

The spelling of 11000122000101 in words is "eleven trillion, one hundred twenty-two million, one hundred one", and thus it is an aban number.