2005157207101 has 8 divisors (see below), whose sum is σ = 2074333728600. Its totient is φ = 1935982896960.

The previous prime is 2005157207083. The next prime is 2005157207107. The reversal of 2005157207101 is 1017027515002.

It can be written as a sum of positive squares in 4 ways, for example, as 470457438201 + 1534699768900 = 685899^2 + 1238830^2 .

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 2005157207101 - 2⁷ = 2005157206973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005157207107) 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, 1410135 + ... + 2449243.

It is an arithmetic number, because the mean of its divisors is an integer number (259291716075).

Almost surely, 2^{2005157207101} is an apocalyptic number.

It is an amenable number.

2005157207101 is a deficient number, since it is larger than the sum of its proper divisors (69176521499).

2005157207101 is a wasteful number, since it uses less digits than its factorization.

2005157207101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105679.

The product of its (nonzero) digits is 4900, while the sum is 31.

The spelling of 2005157207101 in words is "two trillion, five billion, one hundred fifty-seven million, two hundred seven thousand, one hundred one".