201210010020 has 144 divisors (see below), whose sum is σ = 627022796400. Its totient is φ = 52196659200.

The previous prime is 201210010019. The next prime is 201210010049. The reversal of 201210010020 is 20010012102.

It can be written as a sum of positive squares in 8 ways, for example, as 8292287844 + 192917722176 = 91062^2 + 439224^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201210009984 and 201210010011.

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, 2536560 + ... + 2614680.

It is an arithmetic number, because the mean of its divisors is an integer number (4354324975).

Almost surely, 2^201210010020 is an apocalyptic number.

201210010020 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 201210010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313511398200).

201210010020 is an abundant number, since it is smaller than the sum of its proper divisors (425812786380).

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

201210010020 is a wasteful number, since it uses less digits than its factorization.

201210010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78526 (or 78521 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201210010020 its reverse (20010012102), we get a palindrome (221220022122).

The spelling of 201210010020 in words is "two hundred one billion, two hundred ten million, ten thousand, twenty".