101210011200020 has 12 divisors (see below), whose sum is σ = 212541023520084. Its totient is φ = 40484004480000.

The previous prime is 101210011199989. The next prime is 101210011200029. The reversal of 101210011200020 is 20002110012101.

101210011200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 79509357907204 + 21700653292816 = 8916802^2 + 4658396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101210011199974 and 101210011200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210011200029) 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, 2530250279981 + ... + 2530250280020.

It is an arithmetic number, because the mean of its divisors is an integer number (17711751960007).

Almost surely, 2^{101210011200020} is an apocalyptic number.

101210011200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210011200020 is an abundant number, since it is smaller than the sum of its proper divisors (111331012320064).

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

101210011200020 is a wasteful number, since it uses less digits than its factorization.

101210011200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060500560010 (or 5060500560008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101210011200020 its reverse (20002110012101), we get a palindrome (121212121212121).

The spelling of 101210011200020 in words is "one hundred one trillion, two hundred ten billion, eleven million, two hundred thousand, twenty".