12101101120000 has 100 divisors (see below), whose sum is σ = 30213538468146. Its totient is φ = 4840440320000.

The previous prime is 12101101119983. The next prime is 12101101120001. The reversal of 12101101120000 is 2110110121.

It can be written as a sum of positive squares in 5 ways, for example, as 1945868544 + 12099155251456 = 44112^2 + 3478384^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12101101120001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18587971 + ... + 19227970.

Almost surely, 2^{12101101120000} is an apocalyptic number.

12101101120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101101120000 is an abundant number, since it is smaller than the sum of its proper divisors (18112437348146).

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

12101101120000 is an frugal number, since it uses more digits than its factorization.

12101101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37815979 (or 37815948 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12101101120000 its reverse (2110110121), we get a palindrome (12103211230121).

The spelling of 12101101120000 in words is "twelve trillion, one hundred one billion, one hundred one million, one hundred twenty thousand".