101020201212020 has 24 divisors (see below), whose sum is σ = 212308548223464. Its totient is φ = 40376437498496.

The previous prime is 101020201211987. The next prime is 101020201212041. The reversal of 101020201212020 is 20212102020101.

It can be written as a sum of positive squares in 4 ways, for example, as 10298309973604 + 90721891238416 = 3209098^2 + 9524804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101020201211986 and 101020201212004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1977660467 + ... + 1977711546.

It is an arithmetic number, because the mean of its divisors is an integer number (8846189509311).

Almost surely, 2^{101020201212020} is an apocalyptic number.

101020201212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020201212020 is an abundant number, since it is smaller than the sum of its proper divisors (111288347011444).

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

101020201212020 is a wasteful number, since it uses less digits than its factorization.

101020201212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955373299 (or 3955373297 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101020201212020 its reverse (20212102020101), we get a palindrome (121232303232121).

The spelling of 101020201212020 in words is "one hundred one trillion, twenty billion, two hundred one million, two hundred twelve thousand, twenty".