10202221100 has 54 divisors (see below), whose sum is σ = 22286112660. Its totient is φ = 4053915840.

The previous prime is 10202221093. The next prime is 10202221103. The reversal of 10202221100 is 112220201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10202221103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2462831 + ... + 2466969.

It is an arithmetic number, because the mean of its divisors is an integer number (412705790).

Almost surely, 2^10202221100 is an apocalyptic number.

10202221100 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 10202221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11143056330).

10202221100 is an abundant number, since it is smaller than the sum of its proper divisors (12083891560).

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

10202221100 is a wasteful number, since it uses less digits than its factorization.

10202221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4467 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10202221100 its reverse (112220201), we get a palindrome (10314441301).

The spelling of 10202221100 in words is "ten billion, two hundred two million, two hundred twenty-one thousand, one hundred".