201012020122120 has 128 divisors (see below), whose sum is σ = 464289584256000. Its totient is φ = 78287063500800.

The previous prime is 201012020122103. The next prime is 201012020122157. The reversal of 201012020122120 is 21221020210102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201012020122094 and 201012020122103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2798755810 + ... + 2798827630.

It is an arithmetic number, because the mean of its divisors is an integer number (3627262377000).

Almost surely, 2^{201012020122120} is an apocalyptic number.

201012020122120 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 201012020122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232144792128000).

201012020122120 is an abundant number, since it is smaller than the sum of its proper divisors (263277564133880).

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

201012020122120 is a wasteful number, since it uses less digits than its factorization.

201012020122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79559 (or 79555 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201012020122120 its reverse (21221020210102), we get a palindrome (222233040332222).

The spelling of 201012020122120 in words is "two hundred one trillion, twelve billion, twenty million, one hundred twenty-two thousand, one hundred twenty".