201200101020 has 144 divisors (see below), whose sum is σ = 646506439488. Its totient is φ = 50473912320.

The previous prime is 201200101001. The next prime is 201200101021. The reversal of 201200101020 is 20101002102.

201200101020 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 = 201200100993 and 201200101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200101021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7149417 + ... + 7177503.

It is an arithmetic number, because the mean of its divisors is an integer number (4489628052).

Almost surely, 2^201200101020 is an apocalyptic number.

201200101020 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 201200101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323253219744).

201200101020 is an abundant number, since it is smaller than the sum of its proper divisors (445306338468).

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

201200101020 is a wasteful number, since it uses less digits than its factorization.

201200101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30460 (or 30455 counting only the distinct ones).

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

Adding to 201200101020 its reverse (20101002102), we get a palindrome (221301103122).

The spelling of 201200101020 in words is "two hundred one billion, two hundred million, one hundred one thousand, twenty".