201012100020 has 144 divisors (see below), whose sum is σ = 628716187008. Its totient is φ = 51946272000.

The previous prime is 201012100019. The next prime is 201012100033. The reversal of 201012100020 is 20001210102.

201012100020 is digitally balanced in base 3, 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 201012099975 and 201012100011.

It is a congruent number.

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, 1611537 + ... + 1731783.

It is an arithmetic number, because the mean of its divisors is an integer number (4366084632).

Almost surely, 2^201012100020 is an apocalyptic number.

201012100020 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 201012100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314358093504).

201012100020 is an abundant number, since it is smaller than the sum of its proper divisors (427704086988).

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

201012100020 is a wasteful number, since it uses less digits than its factorization.

201012100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120550 (or 120545 counting only the distinct ones).

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

Adding to 201012100020 its reverse (20001210102), we get a palindrome (221013310122).

The spelling of 201012100020 in words is "two hundred one billion, twelve million, one hundred thousand, twenty".