11001122100101 has 32 divisors (see below), whose sum is σ = 12744204000000. Its totient is φ = 9301769395200.

The previous prime is 11001122100097. The next prime is 11001122100107. The reversal of 11001122100101 is 10100122110011.

It is a cyclic number.

It is not a de Polignac number, because 11001122100101 - 2² = 11001122100097 is a prime.

It is a super-2 number, since 2×11001122100101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001122100107) 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, 159984275 + ... + 160053023.

It is an arithmetic number, because the mean of its divisors is an integer number (398256375000).

Almost surely, 2^{11001122100101} is an apocalyptic number.

It is an amenable number.

11001122100101 is a deficient number, since it is larger than the sum of its proper divisors (1743081899899).

11001122100101 is a wasteful number, since it uses less digits than its factorization.

11001122100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69789.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11001122100101 its reverse (10100122110011), we get a palindrome (21101244210112).

The spelling of 11001122100101 in words is "eleven trillion, one billion, one hundred twenty-two million, one hundred thousand, one hundred one".