102100000112020 has 12 divisors (see below), whose sum is σ = 214410000235284. Its totient is φ = 40840000044800.

The previous prime is 102100000111951. The next prime is 102100000112083. The reversal of 102100000112020 is 20211000001201.

It can be written as a sum of positive squares in 2 ways, for example, as 77960917884304 + 24139082227716 = 8829548^2 + 4913154^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102100000111988 and 102100000112006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2552500002781 + ... + 2552500002820.

It is an arithmetic number, because the mean of its divisors is an integer number (17867500019607).

Almost surely, 2^{102100000112020} is an apocalyptic number.

102100000112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100000112020 is an abundant number, since it is smaller than the sum of its proper divisors (112310000123264).

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

102100000112020 is a wasteful number, since it uses less digits than its factorization.

102100000112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105000005610 (or 5105000005608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100000112020 its reverse (20211000001201), we get a palindrome (122311000113221).

The spelling of 102100000112020 in words is "one hundred two trillion, one hundred billion, one hundred twelve thousand, twenty".