201001211022120 has 256 divisors, whose sum is σ = 655772515522560. Its totient is φ = 49080775606272.

The previous prime is 201001211022109. The next prime is 201001211022133. The reversal of 201001211022120 is 21220112100102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201001211022120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1311539337 + ... + 1311692583.

It is an arithmetic number, because the mean of its divisors is an integer number (2561611388760).

Almost surely, 2^{201001211022120} is an apocalyptic number.

201001211022120 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 201001211022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327886257761280).

201001211022120 is an abundant number, since it is smaller than the sum of its proper divisors (454771304500440).

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

201001211022120 is a wasteful number, since it uses less digits than its factorization.

201001211022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170692 (or 170688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201001211022120 its reverse (21220112100102), we get a palindrome (222221323122222).

The spelling of 201001211022120 in words is "two hundred one trillion, one billion, two hundred eleven million, twenty-two thousand, one hundred twenty".