101120211010009 has 8 divisors (see below), whose sum is σ = 101342530172520. Its totient is φ = 100897896431616.

The previous prime is 101120211009989. The next prime is 101120211010043. The reversal of 101120211010009 is 900010112021101.

It can be written as a sum of positive squares in 4 ways, for example, as 59412600009 + 101060798410000 = 243747^2 + 10052900^2 .

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 101120211010009 - 2¹¹ = 101120211007961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101120211011009) 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, 45065817 + ... + 47256409.

It is an arithmetic number, because the mean of its divisors is an integer number (12667816271565).

Almost surely, 2^{101120211010009} is an apocalyptic number.

It is an amenable number.

101120211010009 is a deficient number, since it is larger than the sum of its proper divisors (222319162511).

101120211010009 is a wasteful number, since it uses less digits than its factorization.

101120211010009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292059.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101120211010009 in words is "one hundred one trillion, one hundred twenty billion, two hundred eleven million, ten thousand, nine".