1101101121123 has 16 divisors (see below), whose sum is σ = 1471592304000. Its totient is φ = 732339095040.

The previous prime is 1101101121089. The next prime is 1101101121139. The reversal of 1101101121123 is 3211211011011.

It is not a de Polignac number, because 1101101121123 - 2¹³ = 1101101112931 is a prime.

It is a super-2 number, since 2×1101101121123² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101101121173) 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, 11454168 + ... + 11549898.

It is an arithmetic number, because the mean of its divisors is an integer number (91974519000).

Almost surely, 2^{1101101121123} is an apocalyptic number.

1101101121123 is a deficient number, since it is larger than the sum of its proper divisors (370491182877).

1101101121123 is an equidigital number, since it uses as much as digits as its factorization.

1101101121123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104722.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1101101121123 its reverse (3211211011011), we get a palindrome (4312312132134).

The spelling of 1101101121123 in words is "one trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-three".