121100121110000 has 100 divisors (see below), whose sum is σ = 293863385178000. Its totient is φ = 48329704896000.

The previous prime is 121100121109991. The next prime is 121100121110027. The reversal of 121100121110000 is 11121001121.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9402725 + ... + 18182724.

It is an arithmetic number, because the mean of its divisors is an integer number (2938633851780).

Almost surely, 2^{121100121110000} is an apocalyptic number.

121100121110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121100121110000 is an abundant number, since it is smaller than the sum of its proper divisors (172763264068000).

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

121100121110000 is an equidigital number, since it uses as much as digits as its factorization.

121100121110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27585916 (or 27585895 counting only the distinct ones).

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

Adding to 121100121110000 its reverse (11121001121), we get a palindrome (121111242111121).

The spelling of 121100121110000 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty-one million, one hundred ten thousand".