10011211424344 has 128 divisors (see below), whose sum is σ = 21298083287040. Its totient is φ = 4376902666752.

The previous prime is 10011211424299. The next prime is 10011211424353. The reversal of 10011211424344 is 44342411211001.

It is a happy number.

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, 1203700474 + ... + 1203708790.

It is an arithmetic number, because the mean of its divisors is an integer number (166391275680).

Almost surely, 2^{10011211424344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011211424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10649041643520).

10011211424344 is an abundant number, since it is smaller than the sum of its proper divisors (11286871862696).

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

10011211424344 is a wasteful number, since it uses less digits than its factorization.

10011211424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13169 (or 13165 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 10011211424344 its reverse (44342411211001), we get a palindrome (54353622635345).

The spelling of 10011211424344 in words is "ten trillion, eleven billion, two hundred eleven million, four hundred twenty-four thousand, three hundred forty-four".