121002100000110 has 768 divisors, whose sum is σ = 395401932656640. Its totient is φ = 25068918251520.

The previous prime is 121002100000099. The next prime is 121002100000127. The reversal of 121002100000110 is 11000001200121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121002100000092 and 121002100000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13606438824 + ... + 13606447716.

It is an arithmetic number, because the mean of its divisors is an integer number (514846266480).

Almost surely, 2^{121002100000110} is an apocalyptic number.

121002100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002100000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197700966328320).

121002100000110 is an abundant number, since it is smaller than the sum of its proper divisors (274399832656530).

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

121002100000110 is a wasteful number, since it uses less digits than its factorization.

121002100000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121002100000110 its reverse (11000001200121), we get a palindrome (132002101200231).

The spelling of 121002100000110 in words is "one hundred twenty-one trillion, two billion, one hundred million, one hundred ten", and thus it is an aban number.