10020221110100 has 72 divisors (see below), whose sum is σ = 22129771104000. Its totient is φ = 3937466332800.

The previous prime is 10020221110079. The next prime is 10020221110121. The reversal of 10020221110100 is 101112202001.

It is an interprime number because it is at equal distance from previous prime (10020221110079) and next prime (10020221110121).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1614791 + ... + 4758990.

It is an arithmetic number, because the mean of its divisors is an integer number (307357932000).

Almost surely, 2^{10020221110100} is an apocalyptic number.

10020221110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020221110100 is an abundant number, since it is smaller than the sum of its proper divisors (12109549993900).

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

10020221110100 is a wasteful number, since it uses less digits than its factorization.

10020221110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374073 (or 6374066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10020221110100 its reverse (101112202001), we get a palindrome (10121333312101).

The spelling of 10020221110100 in words is "ten trillion, twenty billion, two hundred twenty-one million, one hundred ten thousand, one hundred".