101261120463 has 8 divisors (see below), whose sum is σ = 150016474800. Its totient is φ = 67507413624.

The previous prime is 101261120461. The next prime is 101261120479. The reversal of 101261120463 is 364021162101.

It is a happy number.

101261120463 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 611 + 2 + 0 + 46 + 3 = 666.

It is not a de Polignac number, because 101261120463 - 2¹ = 101261120461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3750411869 = 101261120463 / (1 + 0 + 1 + 2 + 6 + 1 + 1 + 2 + 0 + 4 + 6 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101261120461) 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, 1875205908 + ... + 1875205961.

It is an arithmetic number, because the mean of its divisors is an integer number (18752059350).

Almost surely, 2^101261120463 is an apocalyptic number.

101261120463 is a deficient number, since it is larger than the sum of its proper divisors (48755354337).

101261120463 is an equidigital number, since it uses as much as digits as its factorization.

101261120463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750411878 (or 3750411872 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101261120463 its reverse (364021162101), we get a palindrome (465282282564).

The spelling of 101261120463 in words is "one hundred one billion, two hundred sixty-one million, one hundred twenty thousand, four hundred sixty-three".