10099232729041 has 27 divisors (see below), whose sum is σ = 10818352062907. Its totient is φ = 9425991648320.

The previous prime is 10099232729011. The next prime is 10099232729057. The reversal of 10099232729041 is 14092723299001.

It is a happy number.

The square root of 10099232729041 is 3177929.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7862724443025 + 2236508286016 = 2804055^2 + 1495496^2 .

It is not a de Polignac number, because 10099232729041 - 2²³ = 10099224340433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10099232729011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7077247170 + ... + 7077248596.

Almost surely, 2^{10099232729041} is an apocalyptic number.

10099232729041 is the 3177929-th square number.

10099232729041 is the 1588965-th centered octagonal number.

It is an amenable number.

10099232729041 is a deficient number, since it is larger than the sum of its proper divisors (719119333866).

10099232729041 is an frugal number, since it uses more digits than its factorization.

10099232729041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 10099232729041 by its sum of digits (49), we get a square (494862403723009 = 22245503²).

The spelling of 10099232729041 in words is "ten trillion, ninety-nine billion, two hundred thirty-two million, seven hundred twenty-nine thousand, forty-one".