102201330100 has 72 divisors (see below), whose sum is σ = 229098836736. Its totient is φ = 39532800000.

The previous prime is 102201330089. The next prime is 102201330169. The reversal of 102201330100 is 1033102201.

It is a super-2 number, since 2×102201330100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4486740 + ... + 4509460.

It is an arithmetic number, because the mean of its divisors is an integer number (3181928288).

Almost surely, 2^102201330100 is an apocalyptic number.

102201330100 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 102201330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114549418368).

102201330100 is an abundant number, since it is smaller than the sum of its proper divisors (126897506636).

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

102201330100 is a wasteful number, since it uses less digits than its factorization.

102201330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24217 (or 24210 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102201330100 its reverse (1033102201), we get a palindrome (103234432301).

The spelling of 102201330100 in words is "one hundred two billion, two hundred one million, three hundred thirty thousand, one hundred".