1000102021100 has 288 divisors, whose sum is σ = 2739901718400. Its totient is φ = 308452147200.

The previous prime is 1000102021097. The next prime is 1000102021117. The reversal of 1000102021100 is 11202010001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60497636 + ... + 60514164.

Almost surely, 2^{1000102021100} is an apocalyptic number.

1000102021100 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 1000102021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369950859200).

1000102021100 is an abundant number, since it is smaller than the sum of its proper divisors (1739799697300).

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

1000102021100 is a wasteful number, since it uses less digits than its factorization.

1000102021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16733 (or 16726 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000102021100 its reverse (11202010001), we get a palindrome (1011304031101).

The spelling of 1000102021100 in words is "one trillion, one hundred two million, twenty-one thousand, one hundred".