102100001110020 has 72 divisors (see below), whose sum is σ = 318073697172504. Its totient is φ = 26490811097088.

The previous prime is 102100001109979. The next prime is 102100001110087. The reversal of 102100001110020 is 20011100001201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10223635343364 + 91876365766656 = 3197442^2 + 9585216^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102100001109984 and 102100001110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7665158589 + ... + 7665171908.

It is an arithmetic number, because the mean of its divisors is an integer number (4417690238507).

Almost surely, 2^{102100001110020} is an apocalyptic number.

102100001110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100001110020 is an abundant number, since it is smaller than the sum of its proper divisors (215973696062484).

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

102100001110020 is a wasteful number, since it uses less digits than its factorization.

102100001110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330330549 (or 15330330544 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100001110020 its reverse (20011100001201), we get a palindrome (122111101111221).

The spelling of 102100001110020 in words is "one hundred two trillion, one hundred billion, one million, one hundred ten thousand, twenty".