102021111000100 has 144 divisors (see below), whose sum is σ = 233481011258880. Its totient is φ = 38587115059200.

The previous prime is 102021111000091. The next prime is 102021111000161. The reversal of 102021111000100 is 1000111120201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 47 ways as a sum of consecutive naturals, for example, 8543760130 + ... + 8543772070.

It is an arithmetic number, because the mean of its divisors is an integer number (1621395911520).

Almost surely, 2^{102021111000100} is an apocalyptic number.

102021111000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021111000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116740505629440).

102021111000100 is an abundant number, since it is smaller than the sum of its proper divisors (131459900258780).

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

102021111000100 is a wasteful number, since it uses less digits than its factorization.

102021111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20150 (or 20143 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102021111000100 its reverse (1000111120201), we get a palindrome (103021222120301).

The spelling of 102021111000100 in words is "one hundred two trillion, twenty-one billion, one hundred eleven million, one hundred", and thus it is an aban number.