10221010100 has 288 divisors, whose sum is σ = 27718225920. Its totient is φ = 3193827840.

The previous prime is 10221010099. The next prime is 10221010103. The reversal of 10221010100 is 101012201.

It is a super-3 number, since 3×10221010100³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221010103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51883202 + ... + 51883398.

It is an arithmetic number, because the mean of its divisors is an integer number (96243840).

Almost surely, 2^10221010100 is an apocalyptic number.

10221010100 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 10221010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859112960).

10221010100 is an abundant number, since it is smaller than the sum of its proper divisors (17497215820).

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

10221010100 is a wasteful number, since it uses less digits than its factorization.

10221010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 360 counting only the distinct ones).

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

Adding to 10221010100 its reverse (101012201), we get a palindrome (10322022301).

The spelling of 10221010100 in words is "ten billion, two hundred twenty-one million, ten thousand, one hundred".