10221002100 has 216 divisors, whose sum is σ = 33095881728. Its totient is φ = 2636409600.

The previous prime is 10221002083. The next prime is 10221002149. The reversal of 10221002100 is 120012201.

It is a super-3 number, since 3×10221002100³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6359497 + ... + 6361103.

Almost surely, 2^10221002100 is an apocalyptic number.

10221002100 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 10221002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547940864).

10221002100 is an abundant number, since it is smaller than the sum of its proper divisors (22874879628).

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

10221002100 is a wasteful number, since it uses less digits than its factorization.

10221002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10221002100 its reverse (120012201), we get a palindrome (10341014301).

The spelling of 10221002100 in words is "ten billion, two hundred twenty-one million, two thousand, one hundred".