10011122411310 has 64 divisors (see below), whose sum is σ = 26696855520000. Its totient is φ = 2669579734176.

The previous prime is 10011122411243. The next prime is 10011122411327. The reversal of 10011122411310 is 1311422111001.

10011122411310 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 112 + 241 + 1 + 310 = 666.

10011122411310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10011122411310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14374557 + ... + 15054903.

It is an arithmetic number, because the mean of its divisors is an integer number (417138367500).

Almost surely, 2^{10011122411310} is an apocalyptic number.

10011122411310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011122411310 is an abundant number, since it is smaller than the sum of its proper divisors (16685733108690).

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

10011122411310 is a wasteful number, since it uses less digits than its factorization.

10011122411310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734862 (or 734856 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10011122411310 its reverse (1311422111001), we get a palindrome (11322544522311).

The spelling of 10011122411310 in words is "ten trillion, eleven billion, one hundred twenty-two million, four hundred eleven thousand, three hundred ten".