10102122102020 has 48 divisors (see below), whose sum is σ = 23377647881280. Its totient is φ = 3643269791616.

The previous prime is 10102122102019. The next prime is 10102122102053. The reversal of 10102122102020 is 2020122120101.

It is a junction number, because it is equal to n+sod(n) for n = 10102122101986 and 10102122102004.

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 15 ways as a sum of consecutive naturals, for example, 451783190 + ... + 451805549.

It is an arithmetic number, because the mean of its divisors is an integer number (487034330860).

Almost surely, 2^{10102122102020} is an apocalyptic number.

10102122102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102122102020 is an abundant number, since it is smaller than the sum of its proper divisors (13275525779260).

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

10102122102020 is a wasteful number, since it uses less digits than its factorization.

10102122102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903588804 (or 903588802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102122102020 its reverse (2020122120101), we get a palindrome (12122244222121).

The spelling of 10102122102020 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, one hundred two thousand, twenty".