100102223200 has 144 divisors (see below), whose sum is σ = 288916195680. Its totient is φ = 33137233920.

The previous prime is 100102223129. The next prime is 100102223201. The reversal of 100102223200 is 2322201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102223201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145797 + ... + 470596.

It is an arithmetic number, because the mean of its divisors is an integer number (2006362470).

Almost surely, 2^100102223200 is an apocalyptic number.

100102223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102223200 is an abundant number, since it is smaller than the sum of its proper divisors (188813972480).

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

100102223200 is a wasteful number, since it uses less digits than its factorization.

100102223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616449 (or 616436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100102223200 its reverse (2322201001), we get a palindrome (102424424201).

The spelling of 100102223200 in words is "one hundred billion, one hundred two million, two hundred twenty-three thousand, two hundred".