201443012100120 has 512 divisors, whose sum is σ = 742945731379200. Its totient is φ = 42702611263488.

The previous prime is 201443012100103. The next prime is 201443012100137. The reversal of 201443012100120 is 21001210344102.

It is an interprime number because it is at equal distance from previous prime (201443012100103) and next prime (201443012100137).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82000809 + ... + 84421671.

It is an arithmetic number, because the mean of its divisors is an integer number (1451065881600).

Almost surely, 2^{201443012100120} is an apocalyptic number.

201443012100120 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 201443012100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371472865689600).

201443012100120 is an abundant number, since it is smaller than the sum of its proper divisors (541502719279080).

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

201443012100120 is a wasteful number, since it uses less digits than its factorization.

201443012100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421039 (or 2421035 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201443012100120 its reverse (21001210344102), we get a palindrome (222444222444222).

The spelling of 201443012100120 in words is "two hundred one trillion, four hundred forty-three billion, twelve million, one hundred thousand, one hundred twenty".