201002001101020 has 24 divisors (see below), whose sum is σ = 482404802642784. Its totient is φ = 68914971806016.

The previous prime is 201002001101009. The next prime is 201002001101023. The reversal of 201002001101020 is 20101100200102.

201002001101020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201002001101020² (a number of 29 digits) contains 22 as substring.

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 = 201002001100988 and 201002001101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201002001101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717864289507 + ... + 717864289786.

It is an arithmetic number, because the mean of its divisors is an integer number (20100200110116).

Almost surely, 2^{201002001101020} is an apocalyptic number.

201002001101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002001101020 is an abundant number, since it is smaller than the sum of its proper divisors (281402801541764).

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

201002001101020 is a wasteful number, since it uses less digits than its factorization.

201002001101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435728579309 (or 1435728579307 counting only the distinct ones).

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

Adding to 201002001101020 its reverse (20101100200102), we get a palindrome (221103101301122).

The spelling of 201002001101020 in words is "two hundred one trillion, two billion, one million, one hundred one thousand, twenty".