102101000020 has 12 divisors (see below), whose sum is σ = 214412100084. Its totient is φ = 40840400000.

The previous prime is 102101000003. The next prime is 102101000021. The reversal of 102101000020 is 20000101201.

It can be written as a sum of positive squares in 2 ways, for example, as 79494674704 + 22606325316 = 281948^2 + 150354^2 .

It is a super-3 number, since 3×102101000020³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102100999967 and 102101000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101000021) 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, 2552524981 + ... + 2552525020.

It is an arithmetic number, because the mean of its divisors is an integer number (17867675007).

Almost surely, 2^102101000020 is an apocalyptic number.

102101000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101000020 is an abundant number, since it is smaller than the sum of its proper divisors (112311100064).

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

102101000020 is a wasteful number, since it uses less digits than its factorization.

102101000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105050010 (or 5105050008 counting only the distinct ones).

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

Adding to 102101000020 its reverse (20000101201), we get a palindrome (122101101221).

The spelling of 102101000020 in words is "one hundred two billion, one hundred one million, twenty", and thus it is an aban number.