10219188100 has 81 divisors (see below), whose sum is σ = 24401427141. Its totient is φ = 3712024800.

The previous prime is 10219188041. The next prime is 10219188151. The reversal of 10219188100 is 188191201.

The square root of 10219188100 is 101090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3678907716 + 6540280384 = 60654^2 + 80872^2 .

It is a super-2 number, since 2×10219188100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11119441 + ... + 11120359.

Almost surely, 2^10219188100 is an apocalyptic number.

10219188100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10219188100 is the 101090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10219188100

10219188100 is an abundant number, since it is smaller than the sum of its proper divisors (14182239041).

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

10219188100 is an equidigital number, since it uses as much as digits as its factorization.

10219188100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 10219188100 in words is "ten billion, two hundred nineteen million, one hundred eighty-eight thousand, one hundred".