200201112000120 has 128 divisors (see below), whose sum is σ = 748804159203840. Its totient is φ = 41600231063040.

The previous prime is 200201112000107. The next prime is 200201112000133. The reversal of 200201112000120 is 21000211102002.

It is an interprime number because it is at equal distance from previous prime (200201112000107) and next prime (200201112000133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200201112000096 and 200201112000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10833384267 + ... + 10833402746.

It is an arithmetic number, because the mean of its divisors is an integer number (5850032493780).

Almost surely, 2^{200201112000120} is an apocalyptic number.

200201112000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201112000120 is an abundant number, since it is smaller than the sum of its proper divisors (548603047203720).

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

200201112000120 is a wasteful number, since it uses less digits than its factorization.

200201112000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21666787045 (or 21666787041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200201112000120 its reverse (21000211102002), we get a palindrome (221201323102122).

The spelling of 200201112000120 in words is "two hundred trillion, two hundred one billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.