101021002220020 has 12 divisors (see below), whose sum is σ = 212144104662084. Its totient is φ = 40408400888000.

The previous prime is 101021002219961. The next prime is 101021002220029. The reversal of 101021002220020 is 20022200120101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51173392059364 + 49847610160656 = 7153558^2 + 7060284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021002220029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525525055481 + ... + 2525525055520.

It is an arithmetic number, because the mean of its divisors is an integer number (17678675388507).

Almost surely, 2^{101021002220020} is an apocalyptic number.

101021002220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021002220020 is an abundant number, since it is smaller than the sum of its proper divisors (111123102442064).

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

101021002220020 is a wasteful number, since it uses less digits than its factorization.

101021002220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051050111010 (or 5051050111008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101021002220020 its reverse (20022200120101), we get a palindrome (121043202340121).

The spelling of 101021002220020 in words is "one hundred one trillion, twenty-one billion, two million, two hundred twenty thousand, twenty".