101212120220020 has 48 divisors (see below), whose sum is σ = 212727752507088. Its totient is φ = 40450126510080.

The previous prime is 101212120219943. The next prime is 101212120220039. The reversal of 101212120220020 is 20022021212101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11249664818704 + 89962455401316 = 3354052^2 + 9484854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101212120219976 and 101212120220003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1067805030 + ... + 1067899810.

It is an arithmetic number, because the mean of its divisors is an integer number (4431828177231).

Almost surely, 2^{101212120220020} is an apocalyptic number.

101212120220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212120220020 is an abundant number, since it is smaller than the sum of its proper divisors (111515632287068).

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

101212120220020 is a wasteful number, since it uses less digits than its factorization.

101212120220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140020 (or 140018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101212120220020 its reverse (20022021212101), we get a palindrome (121234141432121).

The spelling of 101212120220020 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty thousand, twenty".