101200011002020 has 72 divisors (see below), whose sum is σ = 247242551283000. Its totient is φ = 34693584307200.

The previous prime is 101200011002011. The next prime is 101200011002021. The reversal of 101200011002020 is 20200110002101.

It can be written as a sum of positive squares in 4 ways, for example, as 1359467385444 + 99840543616576 = 1165962^2 + 9992024^2 .

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 = 101200011001988 and 101200011002006.

It is not an unprimeable number, because it can be changed into a prime (101200011002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4257820 + ... + 14850220.

It is an arithmetic number, because the mean of its divisors is an integer number (3433924323375).

Almost surely, 2^{101200011002020} is an apocalyptic number.

101200011002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200011002020 is an abundant number, since it is smaller than the sum of its proper divisors (146042540280980).

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

101200011002020 is a wasteful number, since it uses less digits than its factorization.

101200011002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602173 (or 10602164 counting only the distinct ones).

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

Adding to 101200011002020 its reverse (20200110002101), we get a palindrome (121400121004121).

The spelling of 101200011002020 in words is "one hundred one trillion, two hundred billion, eleven million, two thousand, twenty".