102212333120320 has 56 divisors (see below), whose sum is σ = 244628616455784. Its totient is φ = 40677395490816.

The previous prime is 102212333120279. The next prime is 102212333120327. The reversal of 102212333120320 is 23021333212201.

It can be written as a sum of positive squares in 4 ways, for example, as 10736422115904 + 91475911004416 = 3276648^2 + 9564304^2 .

It is a super-2 number, since 2×102212333120320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212333120327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 810631227 + ... + 810757306.

Almost surely, 2^{102212333120320} is an apocalyptic number.

102212333120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212333120320 is an abundant number, since it is smaller than the sum of its proper divisors (142416283335464).

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

102212333120320 is a wasteful number, since it uses less digits than its factorization.

102212333120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621388747 (or 1621388737 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 102212333120320 its reverse (23021333212201), we get a palindrome (125233666332521).

The spelling of 102212333120320 in words is "one hundred two trillion, two hundred twelve billion, three hundred thirty-three million, one hundred twenty thousand, three hundred twenty".