102220100 has 18 divisors (see below), whose sum is σ = 221817834. Its totient is φ = 40888000.

The previous prime is 102220087. The next prime is 102220123. The reversal of 102220100 is 1022201.

It can be written as a sum of positive squares in 3 ways, for example, as 23116864 + 79103236 = 4808^2 + 8894^2 .

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 5 ways as a sum of consecutive naturals, for example, 511001 + ... + 511200.

It is an arithmetic number, because the mean of its divisors is an integer number (12323213).

Almost surely, 2^102220100 is an apocalyptic number.

102220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220100 is an abundant number, since it is smaller than the sum of its proper divisors (119597734).

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

102220100 is a wasteful number, since it uses less digits than its factorization.

102220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022215 (or 1022208 counting only the distinct ones).

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

The square root of 102220100 is about 10110.3956401320. The cubic root of 102220100 is about 467.5687031442.

Adding to 102220100 its reverse (1022201), we get a palindrome (103242301).

Multiplying 102220100 by its reverse (1022201), we get a square (104489488440100 = 10222010²).

102220100 divided by its reverse (1022201) gives a square (100 = 10²).

The spelling of 102220100 in words is "one hundred two million, two hundred twenty thousand, one hundred".