201020100101020 has 12 divisors (see below), whose sum is σ = 422142210212184. Its totient is φ = 80408040040400.

The previous prime is 201020100101003. The next prime is 201020100101053. The reversal of 201020100101020 is 20101001020102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201020100100988 and 201020100101006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5025502502506 + ... + 5025502502545.

It is an arithmetic number, because the mean of its divisors is an integer number (35178517517682).

Almost surely, 2^{201020100101020} is an apocalyptic number.

201020100101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020100101020 is an abundant number, since it is smaller than the sum of its proper divisors (221122110111164).

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

201020100101020 is a wasteful number, since it uses less digits than its factorization.

201020100101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051005005060 (or 10051005005058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201020100101020 its reverse (20101001020102), we get a palindrome (221121101121122).

The spelling of 201020100101020 in words is "two hundred one trillion, twenty billion, one hundred million, one hundred one thousand, twenty".