10102221110020 has 48 divisors (see below), whose sum is σ = 22872612914928. Its totient is φ = 3725797593600.

The previous prime is 10102221110017. The next prime is 10102221110029. The reversal of 10102221110020 is 2001112220101.

It can be written as a sum of positive squares in 8 ways, for example, as 973979505216 + 9128241604804 = 986904^2 + 3021298^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10102221110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21924031 + ... + 22380070.

It is an arithmetic number, because the mean of its divisors is an integer number (476512769061).

Almost surely, 2^{10102221110020} is an apocalyptic number.

10102221110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102221110020 is an abundant number, since it is smaller than the sum of its proper divisors (12770391804908).

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

10102221110020 is a wasteful number, since it uses less digits than its factorization.

10102221110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44305000 (or 44304998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102221110020 its reverse (2001112220101), we get a palindrome (12103333330121).

The spelling of 10102221110020 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, one hundred ten thousand, twenty".