121110110000010 has 320 divisors, whose sum is σ = 343372825572480. Its totient is φ = 30544376832000.

The previous prime is 121110109999987. The next prime is 121110110000051. The reversal of 121110110000010 is 10000011011121.

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 = 121110109999947 and 121110110000001.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30269958010 + ... + 30269962010.

It is an arithmetic number, because the mean of its divisors is an integer number (1073040079914).

Almost surely, 2^{121110110000010} is an apocalyptic number.

121110110000010 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 121110110000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171686412786240).

121110110000010 is an abundant number, since it is smaller than the sum of its proper divisors (222262715572470).

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

121110110000010 is a wasteful number, since it uses less digits than its factorization.

121110110000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 121110110000010 its reverse (10000011011121), we get a palindrome (131110121011131).

The spelling of 121110110000010 in words is "one hundred twenty-one trillion, one hundred ten billion, one hundred ten million, ten", and thus it is an aban number.