10100111003129 has 16 divisors (see below), whose sum is σ = 11938121134080. Its totient is φ = 8361953099280.

The previous prime is 10100111003111. The next prime is 10100111003137. The reversal of 10100111003129 is 92130011100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100111003129 - 2¹⁶ = 10100110937593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100111003129.

It is not an unprimeable number, because it can be changed into a prime (10100111003159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44383919 + ... + 44610900.

It is an arithmetic number, because the mean of its divisors is an integer number (746132570880).

Almost surely, 2^{10100111003129} is an apocalyptic number.

It is an amenable number.

10100111003129 is a deficient number, since it is larger than the sum of its proper divisors (1838010130951).

10100111003129 is an equidigital number, since it uses as much as digits as its factorization.

10100111003129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88995380.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 10100111003129 in words is "ten trillion, one hundred billion, one hundred eleven million, three thousand, one hundred twenty-nine".