201013101223200 has 216 divisors, whose sum is σ = 810082798132608. Its totient is φ = 45945851696640.

The previous prime is 201013101223111. The next prime is 201013101223213. The reversal of 201013101223200 is 2322101310102.

201013101223200 is a `hidden beast` number, since 2 + 0 + 10 + 1 + 310 + 1 + 22 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1994127192 + ... + 1994227991.

It is an arithmetic number, because the mean of its divisors is an integer number (3750383324688).

Almost surely, 2^{201013101223200} is an apocalyptic number.

201013101223200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201013101223200 is an abundant number, since it is smaller than the sum of its proper divisors (609069696909408).

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

201013101223200 is a wasteful number, since it uses less digits than its factorization.

201013101223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988355216 (or 3988355200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201013101223200 its reverse (2322101310102), we get a palindrome (203335202533302).

The spelling of 201013101223200 in words is "two hundred one trillion, thirteen billion, one hundred one million, two hundred twenty-three thousand, two hundred".