10102123132230 has 256 divisors, whose sum is σ = 27582230937600. Its totient is φ = 2352529889280.

The previous prime is 10102123132223. The next prime is 10102123132237. The reversal of 10102123132230 is 3223132120101.

It is an interprime number because it is at equal distance from previous prime (10102123132223) and next prime (10102123132237).

It is a junction number, because it is equal to n+sod(n) for n = 10102123132197 and 10102123132206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102123132237) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154900809 + ... + 154966011.

It is an arithmetic number, because the mean of its divisors is an integer number (107743089600).

Almost surely, 2^{10102123132230} is an apocalyptic number.

10102123132230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102123132230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791115468800).

10102123132230 is an abundant number, since it is smaller than the sum of its proper divisors (17480107805370).

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

10102123132230 is a wasteful number, since it uses less digits than its factorization.

10102123132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65579.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10102123132230 its reverse (3223132120101), we get a palindrome (13325255252331).

The spelling of 10102123132230 in words is "ten trillion, one hundred two billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred thirty".