121102101120000 has 5280 divisors, whose sum is σ = 563519200932864. Its totient is φ = 22428057600000.

The previous prime is 121102101119941. The next prime is 121102101120001. The reversal of 121102101120000 is 21101201121.

121102101120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102101120001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 924443519935 + ... + 924443520065.

Almost surely, 2^{121102101120000} is an apocalyptic number.

121102101120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281759600466432).

121102101120000 is an abundant number, since it is smaller than the sum of its proper divisors (442417099812864).

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

121102101120000 is a wasteful number, since it uses less digits than its factorization.

121102101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 209 counting only the distinct ones).

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

Adding to 121102101120000 its reverse (21101201121), we get a palindrome (121123202321121).

The spelling of 121102101120000 in words is "one hundred twenty-one trillion, one hundred two billion, one hundred one million, one hundred twenty thousand".