101601118127331 has 12 divisors (see below), whose sum is σ = 146764810104120. Its totient is φ = 67730552839680.

The previous prime is 101601118127323. The next prime is 101601118127351. The reversal of 101601118127331 is 133721811106101.

101601118127331 is a `hidden beast` number, since 1 + 0 + 1 + 601 + 1 + 1 + 8 + 12 + 7 + 3 + 31 = 666.

101601118127331 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101601118127331 - 2³ = 101601118127323 is a prime.

It is a super-2 number, since 2×101601118127331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101601118127351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293643486 + ... + 293989283.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400842010).

Almost surely, 2^{101601118127331} is an apocalyptic number.

101601118127331 is a deficient number, since it is larger than the sum of its proper divisors (45163691976789).

101601118127331 is a wasteful number, since it uses less digits than its factorization.

101601118127331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587651986 (or 587651983 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 101601118127331 in words is "one hundred one trillion, six hundred one billion, one hundred eighteen million, one hundred twenty-seven thousand, three hundred thirty-one".