10202220100 has 36 divisors (see below), whose sum is σ = 22173494868. Its totient is φ = 4074496000.

The previous prime is 10202220079. The next prime is 10202220121. The reversal of 10202220100 is 102220201.

It is an interprime number because it is at equal distance from previous prime (10202220079) and next prime (10202220121).

It can be written as a sum of positive squares in 6 ways, for example, as 1160492356 + 9041727744 = 34066^2 + 95088^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15481 + ... + 143680.

It is an arithmetic number, because the mean of its divisors is an integer number (615930413).

Almost surely, 2^10202220100 is an apocalyptic number.

10202220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202220100 is an abundant number, since it is smaller than the sum of its proper divisors (11971274768).

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

10202220100 is a wasteful number, since it uses less digits than its factorization.

10202220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159816 (or 159809 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10202220100 its reverse (102220201), we get a palindrome (10304440301).

The spelling of 10202220100 in words is "ten billion, two hundred two million, two hundred twenty thousand, one hundred".