10124444442101 has 8 divisors (see below), whose sum is σ = 11059136781984. Its totient is φ = 9192133485520.

The previous prime is 10124444442097. The next prime is 10124444442109.

10124444442101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10124444442101 - 2² = 10124444442097 is a prime.

It is a super-2 number, since 2×10124444442101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124444442109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595336931 + ... + 595353936.

It is an arithmetic number, because the mean of its divisors is an integer number (1382392097748).

Almost surely, 2^{10124444442101} is an apocalyptic number.

10124444442101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10124444442101 is a deficient number, since it is larger than the sum of its proper divisors (934692339883).

10124444442101 is a wasteful number, since it uses less digits than its factorization.

10124444442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190691651.

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 1012444 and 4442101, that added together give a palindrome (5454545).

The spelling of 10124444442101 in words is "ten trillion, one hundred twenty-four billion, four hundred forty-four million, four hundred forty-two thousand, one hundred one".