201001011022020 has 192 divisors, whose sum is σ = 620377385951232. Its totient is φ = 48219251520000.

The previous prime is 201001011021991. The next prime is 201001011022039. The reversal of 201001011022020 is 20220110100102.

201001011022020 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 = 201001011021987 and 201001011022005.

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, 123915057 + ... + 125526663.

It is an arithmetic number, because the mean of its divisors is an integer number (3231132218496).

Almost surely, 2^{201001011022020} is an apocalyptic number.

201001011022020 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 201001011022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310188692975616).

201001011022020 is an abundant number, since it is smaller than the sum of its proper divisors (419376374929212).

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

201001011022020 is a wasteful number, since it uses less digits than its factorization.

201001011022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613602 (or 1613600 counting only the distinct ones).

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

Adding to 201001011022020 its reverse (20220110100102), we get a palindrome (221221121122122).

The spelling of 201001011022020 in words is "two hundred one trillion, one billion, eleven million, twenty-two thousand, twenty".