2101117202007 has 16 divisors (see below), whose sum is σ = 2823798021120. Its totient is φ = 1389615300000.

The previous prime is 2101117201987. The next prime is 2101117202039. The reversal of 2101117202007 is 7002027111012.

It is not a de Polignac number, because 2101117202007 - 2¹² = 2101117197911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101117204007) 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, 2747832 + ... + 3428237.

It is an arithmetic number, because the mean of its divisors is an integer number (176487376320).

Almost surely, 2^{2101117202007} is an apocalyptic number.

2101117202007 is a deficient number, since it is larger than the sum of its proper divisors (722680819113).

2101117202007 is a wasteful number, since it uses less digits than its factorization.

2101117202007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176974.

The product of its (nonzero) digits is 392, while the sum is 24.

The spelling of 2101117202007 in words is "two trillion, one hundred one billion, one hundred seventeen million, two hundred two thousand, seven".