1010761332201 has 24 divisors (see below), whose sum is σ = 1549097671680. Its totient is φ = 632879127936.

The previous prime is 1010761332157. The next prime is 1010761332209. The reversal of 1010761332201 is 1022331670101.

1010761332201 is a `hidden beast` number, since 1 + 0 + 10 + 7 + 613 + 32 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 1010761332201 - 2¹⁷ = 1010761201129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010761332209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6822625 + ... + 6969198.

It is an arithmetic number, because the mean of its divisors is an integer number (64545736320).

Almost surely, 2^{1010761332201} is an apocalyptic number.

It is an amenable number.

1010761332201 is a deficient number, since it is larger than the sum of its proper divisors (538336339479).

1010761332201 is a wasteful number, since it uses less digits than its factorization.

1010761332201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792325 (or 13792322 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 1010761332201 in words is "one trillion, ten billion, seven hundred sixty-one million, three hundred thirty-two thousand, two hundred one".