201121342020 has 144 divisors (see below), whose sum is σ = 615359384640. Its totient is φ = 53168044800.

The previous prime is 201121342007. The next prime is 201121342031. The reversal of 201121342020 is 20243121102.

It is a happy number.

201121342020 is a `hidden beast` number, since 2 + 0 + 11 + 213 + 420 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201121341984 and 201121342002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26146375 + ... + 26154065.

It is an arithmetic number, because the mean of its divisors is an integer number (4273329060).

Almost surely, 2^201121342020 is an apocalyptic number.

201121342020 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 201121342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307679692320).

201121342020 is an abundant number, since it is smaller than the sum of its proper divisors (414238042620).

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

201121342020 is a wasteful number, since it uses less digits than its factorization.

201121342020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8946 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201121342020 its reverse (20243121102), we get a palindrome (221364463122).

The spelling of 201121342020 in words is "two hundred one billion, one hundred twenty-one million, three hundred forty-two thousand, twenty".