11011022100001 has 32 divisors (see below), whose sum is σ = 14536450695168. Its totient is φ = 8074814711040.

The previous prime is 11011022099981. The next prime is 11011022100017. The reversal of 11011022100001 is 10000122011011.

It is not a de Polignac number, because 11011022100001 - 2⁹ = 11011022099489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11011022100301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21797776 + ... + 22297198.

It is an arithmetic number, because the mean of its divisors is an integer number (454264084224).

Almost surely, 2^{11011022100001} is an apocalyptic number.

11011022100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11011022100001 is a deficient number, since it is larger than the sum of its proper divisors (3525428595167).

11011022100001 is a wasteful number, since it uses less digits than its factorization.

11011022100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516301.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011022100001 its reverse (10000122011011), we get a palindrome (21011144111012).

The spelling of 11011022100001 in words is "eleven trillion, eleven billion, twenty-two million, one hundred thousand, one".