201121167720 has 256 divisors, whose sum is σ = 681696000000. Its totient is φ = 47021184000.

The previous prime is 201121167719. The next prime is 201121167763. The reversal of 201121167720 is 27761121102.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 40229781 + ... + 40234779.

It is an arithmetic number, because the mean of its divisors is an integer number (2662875000).

Almost surely, 2^201121167720 is an apocalyptic number.

201121167720 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 201121167720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340848000000).

201121167720 is an abundant number, since it is smaller than the sum of its proper divisors (480574832280).

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

201121167720 is a wasteful number, since it uses less digits than its factorization.

201121167720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

Adding to 201121167720 its reverse (27761121102), we get a palindrome (228882288822).

The spelling of 201121167720 in words is "two hundred one billion, one hundred twenty-one million, one hundred sixty-seven thousand, seven hundred twenty".