10220002100 has 144 divisors (see below), whose sum is σ = 27806303616. Its totient is φ = 3167424000.

The previous prime is 10220002087. The next prime is 10220002123. The reversal of 10220002100 is 120002201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390034 + ... + 1397366.

Almost surely, 2^10220002100 is an apocalyptic number.

10220002100 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 10220002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903151808).

10220002100 is an abundant number, since it is smaller than the sum of its proper divisors (17586301516).

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

10220002100 is a wasteful number, since it uses less digits than its factorization.

10220002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546 (or 7539 counting only the distinct ones).

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

Adding to 10220002100 its reverse (120002201), we get a palindrome (10340004301).

The spelling of 10220002100 in words is "ten billion, two hundred twenty million, two thousand, one hundred".