10000101101009 has 4 divisors (see below), whose sum is σ = 10003000524900. Its totient is φ = 9997201677120.

The previous prime is 10000101100987. The next prime is 10000101101033. The reversal of 10000101101009 is 90010110100001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3018114001984 + 6981987099025 = 1737272^2 + 2642345^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000101101009 - 2⁸ = 10000101100753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000101100984 and 10000101101002.

It is not an unprimeable number, because it can be changed into a prime (10000101101509) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1449706772 + ... + 1449713669.

It is an arithmetic number, because the mean of its divisors is an integer number (2500750131225).

Almost surely, 2^{10000101101009} is an apocalyptic number.

It is an amenable number.

10000101101009 is a deficient number, since it is larger than the sum of its proper divisors (2899423891).

10000101101009 is an equidigital number, since it uses as much as digits as its factorization.

10000101101009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899423890.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10000101101009 in words is "ten trillion, one hundred one million, one hundred one thousand, nine".