102223401120 has 72 divisors (see below), whose sum is σ = 348837361236. Its totient is φ = 27259573248.

The previous prime is 102223401113. The next prime is 102223401173. The reversal of 102223401120 is 21104322201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96469875216 + 5753525904 = 310596^2 + 75852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102223401093 and 102223401102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 35492797 + ... + 35495676.

Almost surely, 2^102223401120 is an apocalyptic number.

102223401120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223401120 is an abundant number, since it is smaller than the sum of its proper divisors (246613960116).

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

102223401120 is a wasteful number, since it uses less digits than its factorization.

102223401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70988494 (or 70988483 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102223401120 its reverse (21104322201), we get a palindrome (123327723321).

The spelling of 102223401120 in words is "one hundred two billion, two hundred twenty-three million, four hundred one thousand, one hundred twenty".