101200100020 has 48 divisors (see below), whose sum is σ = 228103939728. Its totient is φ = 37576949760.

The previous prime is 101200099933. The next prime is 101200100051. The reversal of 101200100020 is 20001002101.

It can be written as a sum of positive squares in 8 ways, for example, as 29030544 + 101171069476 = 5388^2 + 318074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101200099976 and 101200100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013861 + ... + 2063500.

It is an arithmetic number, because the mean of its divisors is an integer number (4752165411).

Almost surely, 2^101200100020 is an apocalyptic number.

101200100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200100020 is an abundant number, since it is smaller than the sum of its proper divisors (126903839708).

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

101200100020 is a wasteful number, since it uses less digits than its factorization.

101200100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077460 (or 4077458 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 101200100020 its reverse (20001002101), we get a palindrome (121201102121).

The spelling of 101200100020 in words is "one hundred one billion, two hundred million, one hundred thousand, twenty".