10132244223101 has 72 divisors (see below), whose sum is σ = 14079596904000. Its totient is φ = 7206035316480.

The previous prime is 10132244223091. The next prime is 10132244223107.

It is a happy number.

10132244223101 is nontrivially palindromic in base 10.

10132244223101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10132244223101 - 2¹⁰ = 10132244222077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132244223107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7482200 + ... + 8731998.

It is an arithmetic number, because the mean of its divisors is an integer number (195549957000).

Almost surely, 2^{10132244223101} is an apocalyptic number.

10132244223101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10132244223101 is a deficient number, since it is larger than the sum of its proper divisors (3947352680899).

10132244223101 is a wasteful number, since it uses less digits than its factorization.

10132244223101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249939 (or 1249919 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1013224 and 4223101, that added together give a palindrome (5236325).

The spelling of 10132244223101 in words is "ten trillion, one hundred thirty-two billion, two hundred forty-four million, two hundred twenty-three thousand, one hundred one".