100101221220020 has 24 divisors (see below), whose sum is σ = 210534482758824. Its totient is φ = 39979170736256.

The previous prime is 100101221220019. The next prime is 100101221220067. The reversal of 100101221220020 is 20022122101001.

It can be written as a sum of positive squares in 4 ways, for example, as 10575334896676 + 89525886323344 = 3251974^2 + 9461812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100101221219977 and 100101221220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3832346099 + ... + 3832372218.

It is an arithmetic number, because the mean of its divisors is an integer number (8772270114951).

Almost surely, 2^{100101221220020} is an apocalyptic number.

100101221220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101221220020 is an abundant number, since it is smaller than the sum of its proper divisors (110433261538804).

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

100101221220020 is a wasteful number, since it uses less digits than its factorization.

100101221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664718979 (or 7664718977 counting only the distinct ones).

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

Adding to 100101221220020 its reverse (20022122101001), we get a palindrome (120123343321021).

The spelling of 100101221220020 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty thousand, twenty".