1122120001101 has 32 divisors (see below), whose sum is σ = 1634234486400. Its totient is φ = 679214950400.

The previous prime is 1122120001063. The next prime is 1122120001103. The reversal of 1122120001101 is 1011000212211.

It is a cyclic number.

It is not a de Polignac number, because 1122120001101 - 2¹⁰ = 1122120000077 is a prime.

It is a super-3 number, since 3×1122120001101³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122120001103) 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, 126803125 + ... + 126811973.

It is an arithmetic number, because the mean of its divisors is an integer number (51069827700).

Almost surely, 2^{1122120001101} is an apocalyptic number.

1122120001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122120001101 is a deficient number, since it is larger than the sum of its proper divisors (512114485299).

1122120001101 is a wasteful number, since it uses less digits than its factorization.

1122120001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13277.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122120001101 its reverse (1011000212211), we get a palindrome (2133120213312).

The spelling of 1122120001101 in words is "one trillion, one hundred twenty-two billion, one hundred twenty million, one thousand, one hundred one".