114104321010120 has 256 divisors, whose sum is σ = 411818607360000. Its totient is φ = 24707491762176.

The previous prime is 114104321010107. The next prime is 114104321010131. The reversal of 114104321010120 is 21010123401411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572848464 + ... + 573047616.

It is an arithmetic number, because the mean of its divisors is an integer number (1608666435000).

Almost surely, 2^{114104321010120} is an apocalyptic number.

114104321010120 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 114104321010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205909303680000).

114104321010120 is an abundant number, since it is smaller than the sum of its proper divisors (297714286349880).

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

114104321010120 is a wasteful number, since it uses less digits than its factorization.

114104321010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235092 (or 235088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 114104321010120 its reverse (21010123401411), we get a palindrome (135114444411531).

The spelling of 114104321010120 in words is "one hundred fourteen trillion, one hundred four billion, three hundred twenty-one million, ten thousand, one hundred twenty".