1122201102101 has 16 divisors (see below), whose sum is σ = 1149109452288. Its totient is φ = 1095609744000.

The previous prime is 1122201102073. The next prime is 1122201102161. The reversal of 1122201102101 is 1012011022211.

It is a cyclic number.

It is not a de Polignac number, because 1122201102101 - 2³⁸ = 847323195157 is a prime.

It is a super-2 number, since 2×1122201102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122201102161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35898260 + ... + 35929506.

It is an arithmetic number, because the mean of its divisors is an integer number (71819340768).

Almost surely, 2^{1122201102101} is an apocalyptic number.

It is an amenable number.

1122201102101 is a deficient number, since it is larger than the sum of its proper divisors (26908350187).

1122201102101 is a wasteful number, since it uses less digits than its factorization.

1122201102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36292.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1122201102101 its reverse (1012011022211), we get a palindrome (2134212124312).

It can be divided in two parts, 112220110 and 2101, that added together give a palindrome (112222211).

The spelling of 1122201102101 in words is "one trillion, one hundred twenty-two billion, two hundred one million, one hundred two thousand, one hundred one".