203114101120000 has 440 divisors, whose sum is σ = 580252572939776. Its totient is φ = 69591619584000.

The previous prime is 203114101119983. The next prime is 203114101120141. The reversal of 203114101120000 is 21101411302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6912625309 + ... + 6912654691.

Almost surely, 2^{203114101120000} is an apocalyptic number.

203114101120000 is a gapful number since it is divisible by the number (20) 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 203114101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290126286469888).

203114101120000 is an abundant number, since it is smaller than the sum of its proper divisors (377138471819776).

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

203114101120000 is an equidigital number, since it uses as much as digits as its factorization.

203114101120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30973 (or 30940 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 203114101120000 its reverse (21101411302), we get a palindrome (203135202531302).

The spelling of 203114101120000 in words is "two hundred three trillion, one hundred fourteen billion, one hundred one million, one hundred twenty thousand".