10220100 has 144 divisors (see below), whose sum is σ = 34164480. Its totient is φ = 2332800.

The previous prime is 10220083. The next prime is 10220101. The reversal of 10220100 is 102201.

It is a happy number.

10220100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62619 + ... + 62781.

Almost surely, 2^10220100 is an apocalyptic number.

10220100 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 10220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082240).

10220100 is an abundant number, since it is smaller than the sum of its proper divisors (23944380).

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

10220100 is a wasteful number, since it uses less digits than its factorization.

10220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10220100 is about 3196.8891128721. The cubic root of 10220100 is about 217.0126490676.

Adding to 10220100 its reverse (102201), we get a palindrome (10322301).

Multiplying 10220100 by its reverse (102201), we get a square (1044504440100 = 1022010²).

10220100 divided by its reverse (102201) gives a square (100 = 10²).

It can be divided in two parts, 102 and 20100, that added together give a palindrome (20202).

The spelling of 10220100 in words is "ten million, two hundred twenty thousand, one hundred".