10102020100110 has 48 divisors (see below), whose sum is σ = 26265412021680. Its totient is φ = 2693855640960.

The previous prime is 10102020100019. The next prime is 10102020100121. The reversal of 10102020100110 is 1100102020101.

It is a happy number.

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 = 10102020100092 and 10102020100101.

It is a congruent number.

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, 24625861 + ... + 25032719.

It is an arithmetic number, because the mean of its divisors is an integer number (547196083785).

Almost surely, 2^{10102020100110} is an apocalyptic number.

10102020100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102020100110 is an abundant number, since it is smaller than the sum of its proper divisors (16163391921570).

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

10102020100110 is a wasteful number, since it uses less digits than its factorization.

10102020100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682753 (or 682750 counting only the distinct ones).

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

Adding to 10102020100110 its reverse (1100102020101), we get a palindrome (11202122120211).

The spelling of 10102020100110 in words is "ten trillion, one hundred two billion, twenty million, one hundred thousand, one hundred ten".