102001021100 has 288 divisors, whose sum is σ = 252280852992. Its totient is φ = 35481600000.

The previous prime is 102001021099. The next prime is 102001021123. The reversal of 102001021100 is 1120100201.

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, 528502604 + ... + 528502796.

It is an arithmetic number, because the mean of its divisors is an integer number (875975184).

Almost surely, 2^102001021100 is an apocalyptic number.

102001021100 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 102001021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126140426496).

102001021100 is an abundant number, since it is smaller than the sum of its proper divisors (150279831892).

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

102001021100 is a wasteful number, since it uses less digits than its factorization.

102001021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

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

Adding to 102001021100 its reverse (1120100201), we get a palindrome (103121121301).

The spelling of 102001021100 in words is "one hundred two billion, one million, twenty-one thousand, one hundred".