10113122030000 has 400 divisors, whose sum is σ = 27162531632544. Its totient is φ = 3615805440000.

The previous prime is 10113122029991. The next prime is 10113122030041. The reversal of 10113122030000 is 3022131101.

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

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 79 ways as a sum of consecutive naturals, for example, 1675186982 + ... + 1675193018.

Almost surely, 2^{10113122030000} is an apocalyptic number.

10113122030000 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 10113122030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13581265816272).

10113122030000 is an abundant number, since it is smaller than the sum of its proper divisors (17049409602544).

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

10113122030000 is a wasteful number, since it uses less digits than its factorization.

10113122030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10113122030000 its reverse (3022131101), we get a palindrome (10116144161101).

The spelling of 10113122030000 in words is "ten trillion, one hundred thirteen billion, one hundred twenty-two million, thirty thousand".