123201011001100 has 72 divisors (see below), whose sum is σ = 293652570032640. Its totient is φ = 44656842415680.

The previous prime is 123201011001059. The next prime is 123201011001197. The reversal of 123201011001100 is 1100110102321.

It is a happy number.

It is a super-2 number, since 2×123201011001100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409578852 + ... + 1409666251.

It is an arithmetic number, because the mean of its divisors is an integer number (4078507917120).

Almost surely, 2^{123201011001100} is an apocalyptic number.

123201011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123201011001100 is an abundant number, since it is smaller than the sum of its proper divisors (170451559031540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123201011001100 is a wasteful number, since it uses less digits than its factorization.

123201011001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819245159 (or 2819245152 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 123201011001100 its reverse (1100110102321), we get a palindrome (124301121103421).

The spelling of 123201011001100 in words is "one hundred twenty-three trillion, two hundred one billion, eleven million, one thousand, one hundred".