101003668631 has 2 divisors, whose sum is σ = 101003668632. Its totient is φ = 101003668630.

The previous prime is 101003668603. The next prime is 101003668639. The reversal of 101003668631 is 136866300101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101003668631 - 2¹⁴ = 101003652247 is a prime.

It is a super-2 number, since 2×101003668631² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101003668591 and 101003668600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101003668639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501834315 + 50501834316.

It is an arithmetic number, because the mean of its divisors is an integer number (50501834316).

Almost surely, 2^101003668631 is an apocalyptic number.

101003668631 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003668631 is an equidigital number, since it uses as much as digits as its factorization.

101003668631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 35.

Adding to 101003668631 its reverse (136866300101), we get a palindrome (237869968732).

The spelling of 101003668631 in words is "one hundred one billion, three million, six hundred sixty-eight thousand, six hundred thirty-one".