102003032021100 has 576 divisors, whose sum is σ = 355881862103040. Its totient is φ = 22053834316800.

The previous prime is 102003032021063. The next prime is 102003032021117. The reversal of 102003032021100 is 1120230300201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102003032021100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1564839109 + ... + 1564904291.

It is an arithmetic number, because the mean of its divisors is an integer number (617850455040).

Almost surely, 2^{102003032021100} is an apocalyptic number.

102003032021100 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 102003032021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177940931051520).

102003032021100 is an abundant number, since it is smaller than the sum of its proper divisors (253878830081940).

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

102003032021100 is a wasteful number, since it uses less digits than its factorization.

102003032021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65590 (or 65583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102003032021100 its reverse (1120230300201), we get a palindrome (103123262321301).

The spelling of 102003032021100 in words is "one hundred two trillion, three billion, thirty-two million, twenty-one thousand, one hundred".