201301001936100 has 432 divisors, whose sum is σ = 717851202499200. Its totient is φ = 48352525689600.

The previous prime is 201301001936093. The next prime is 201301001936117. The reversal of 201301001936100 is 1639100103102.

201301001936100 is a `hidden beast` number, since 2 + 0 + 1 + 30 + 1 + 0 + 0 + 19 + 3 + 610 + 0 = 666.

201301001936100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32783857 + ... + 38436743.

Almost surely, 2^{201301001936100} is an apocalyptic number.

201301001936100 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 201301001936100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358925601249600).

201301001936100 is an abundant number, since it is smaller than the sum of its proper divisors (516550200563100).

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

201301001936100 is a wasteful number, since it uses less digits than its factorization.

201301001936100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653041 (or 5653017 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 201301001936100 in words is "two hundred one trillion, three hundred one billion, one million, nine hundred thirty-six thousand, one hundred".