2261167720101 has 6 divisors (see below), whose sum is σ = 3266131151270. Its totient is φ = 1507445146728.

The previous prime is 2261167720081. The next prime is 2261167720111. The reversal of 2261167720101 is 1010277611622.

2261167720101 is a `hidden beast` number, since 2 + 2 + 611 + 6 + 7 + 7 + 20 + 10 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2212956735201 + 48210984900 = 1487601^2 + 219570^2 .

It is not a de Polignac number, because 2261167720101 - 2⁹ = 2261167719589 is a prime.

It is a super-2 number, since 2×2261167720101² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261167720111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125620428886 + ... + 125620428903.

Almost surely, 2^{2261167720101} is an apocalyptic number.

It is an amenable number.

2261167720101 is a deficient number, since it is larger than the sum of its proper divisors (1004963431169).

2261167720101 is a wasteful number, since it uses less digits than its factorization.

2261167720101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251240857795 (or 251240857792 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 2261167720101 in words is "two trillion, two hundred sixty-one billion, one hundred sixty-seven million, seven hundred twenty thousand, one hundred one".