10342111124301 has 128 divisors (see below), whose sum is σ = 15737832714240. Its totient is φ = 5986076774400.

The previous prime is 10342111124297. The next prime is 10342111124327.

10342111124301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10342111124301 - 2² = 10342111124297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342111124381) 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, 9747512311 + ... + 9747513371.

It is an arithmetic number, because the mean of its divisors is an integer number (122951818080).

Almost surely, 2^{10342111124301} is an apocalyptic number.

10342111124301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10342111124301 is a deficient number, since it is larger than the sum of its proper divisors (5395721589939).

10342111124301 is a wasteful number, since it uses less digits than its factorization.

10342111124301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1034211 and 1124301, that added together give a palindrome (2158512).

The spelling of 10342111124301 in words is "ten trillion, three hundred forty-two billion, one hundred eleven million, one hundred twenty-four thousand, three hundred one".