201001220100120 has 512 divisors, whose sum is σ = 712565218713600. Its totient is φ = 44813918822400.

The previous prime is 201001220100119. The next prime is 201001220100127. The reversal of 201001220100120 is 21001022100102.

201001220100120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 201001220100096 and 201001220100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001220100127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 220646775 + ... + 221555865.

It is an arithmetic number, because the mean of its divisors is an integer number (1391728942800).

Almost surely, 2^{201001220100120} is an apocalyptic number.

201001220100120 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 201001220100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356282609356800).

201001220100120 is an abundant number, since it is smaller than the sum of its proper divisors (511563998613480).

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

201001220100120 is a wasteful number, since it uses less digits than its factorization.

201001220100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909359 (or 909355 counting only the distinct ones).

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

Adding to 201001220100120 its reverse (21001022100102), we get a palindrome (222002242200222).

The spelling of 201001220100120 in words is "two hundred one trillion, one billion, two hundred twenty million, one hundred thousand, one hundred twenty".