102213302230000 has 400 divisors, whose sum is σ = 285352546580640. Its totient is φ = 35121106944000.

The previous prime is 102213302229989. The next prime is 102213302230001. The reversal of 102213302230000 is 32203312201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×102213302230000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102213302230000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213302230001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 196430167 + ... + 196949833.

Almost surely, 2^{102213302230000} is an apocalyptic number.

102213302230000 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 102213302230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142676273290320).

102213302230000 is an abundant number, since it is smaller than the sum of its proper divisors (183139244350640).

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

102213302230000 is a wasteful number, since it uses less digits than its factorization.

102213302230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519814 (or 519793 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 102213302230000 its reverse (32203312201), we get a palindrome (102245505542201).

The spelling of 102213302230000 in words is "one hundred two trillion, two hundred thirteen billion, three hundred two million, two hundred thirty thousand".