101102120100020 has 24 divisors (see below), whose sum is σ = 228646333149864. Its totient is φ = 37330013575296.

The previous prime is 101102120100019. The next prime is 101102120100031. The reversal of 101102120100020 is 20001021201101.

It can be written as a sum of positive squares in 4 ways, for example, as 8828105764 + 101093291994256 = 93958^2 + 10054516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101102120099974 and 101102120100010.

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, 194427153779 + ... + 194427154298.

It is an arithmetic number, because the mean of its divisors is an integer number (9526930547911).

Almost surely, 2^{101102120100020} is an apocalyptic number.

101102120100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102120100020 is an abundant number, since it is smaller than the sum of its proper divisors (127544213049844).

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

101102120100020 is a wasteful number, since it uses less digits than its factorization.

101102120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388854308099 (or 388854308097 counting only the distinct ones).

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

Adding to 101102120100020 its reverse (20001021201101), we get a palindrome (121103141301121).

The spelling of 101102120100020 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, one hundred thousand, twenty".