10122333113130 has 128 divisors (see below), whose sum is σ = 28073328869376. Its totient is φ = 2288045664000.

The previous prime is 10122333113119. The next prime is 10122333113141. The reversal of 10122333113130 is 3131133322101.

It is an interprime number because it is at equal distance from previous prime (10122333113119) and next prime (10122333113141).

It is a self number, because there is not a number n which added to its sum of digits gives 10122333113130.

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 63 ways as a sum of consecutive naturals, for example, 6355600 + ... + 7787060.

It is an arithmetic number, because the mean of its divisors is an integer number (219322881792).

Almost surely, 2^{10122333113130} is an apocalyptic number.

10122333113130 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 10122333113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14036664434688).

10122333113130 is an abundant number, since it is smaller than the sum of its proper divisors (17950995756246).

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

10122333113130 is a wasteful number, since it uses less digits than its factorization.

10122333113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431852.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10122333113130 its reverse (3131133322101), we get a palindrome (13253466435231).

The spelling of 10122333113130 in words is "ten trillion, one hundred twenty-two billion, three hundred thirty-three million, one hundred thirteen thousand, one hundred thirty".