102120000001110 has 384 divisors, whose sum is σ = 336583539661824. Its totient is φ = 20903432002560.

The previous prime is 102120000001099. The next prime is 102120000001303. The reversal of 102120000001110 is 11100000021201.

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 = 102120000001092 and 102120000001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104665825 + ... + 105636995.

It is an arithmetic number, because the mean of its divisors is an integer number (876519634536).

Almost surely, 2^{102120000001110} is an apocalyptic number.

102120000001110 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 102120000001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168291769830912).

102120000001110 is an abundant number, since it is smaller than the sum of its proper divisors (234463539660714).

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

102120000001110 is a wasteful number, since it uses less digits than its factorization.

102120000001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971588 (or 971585 counting only the distinct ones).

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

Adding to 102120000001110 its reverse (11100000021201), we get a palindrome (113220000022311).

The spelling of 102120000001110 in words is "one hundred two trillion, one hundred twenty billion, one thousand, one hundred ten".