101263103001 has 6 divisors (see below), whose sum is σ = 146268926570. Its totient is φ = 67508735328.

The previous prime is 101263102949. The next prime is 101263103027. The reversal of 101263103001 is 100301362101.

101263103001 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 631 + 0 + 30 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100771328025 + 491774976 = 317445^2 + 22176^2 .

It is not a de Polignac number, because 101263103001 - 2³⁰ = 100189361177 is a prime.

It is a super-2 number, since 2×101263103001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101263113001) 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, 5625727936 + ... + 5625727953.

Almost surely, 2^101263103001 is an apocalyptic number.

It is an amenable number.

101263103001 is a deficient number, since it is larger than the sum of its proper divisors (45005823569).

101263103001 is a wasteful number, since it uses less digits than its factorization.

101263103001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11251455895 (or 11251455892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101263103001 its reverse (100301362101), we get a palindrome (201564465102).

The spelling of 101263103001 in words is "one hundred one billion, two hundred sixty-three million, one hundred three thousand, one".