10102100102020 has 48 divisors (see below), whose sum is σ = 21946504915440. Its totient is φ = 3901400584704.

The previous prime is 10102100101987. The next prime is 10102100102033. The reversal of 10102100102020 is 2020100120101.

It can be written as a sum of positive squares in 8 ways, for example, as 1483777354816 + 8618322747204 = 1218104^2 + 2935698^2 .

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 = 10102100101988 and 10102100102006.

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, 24805882 + ... + 25209838.

It is an arithmetic number, because the mean of its divisors is an integer number (457218852405).

Almost surely, 2^{10102100102020} is an apocalyptic number.

10102100102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102100102020 is an abundant number, since it is smaller than the sum of its proper divisors (11844404813420).

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

10102100102020 is a wasteful number, since it uses less digits than its factorization.

10102100102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447112 (or 447110 counting only the distinct ones).

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

Adding to 10102100102020 its reverse (2020100120101), we get a palindrome (12122200222121).

The spelling of 10102100102020 in words is "ten trillion, one hundred two billion, one hundred million, one hundred two thousand, twenty".