101131034401 has 4 divisors (see below), whose sum is σ = 101154165012. Its totient is φ = 101107903792.

The previous prime is 101131034383. The next prime is 101131034413. The reversal of 101131034401 is 104430131101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 67961883025 + 33169151376 = 260695^2 + 182124^2 .

It is a cyclic number.

It is not a de Polignac number, because 101131034401 - 2²¹ = 101128937249 is a prime.

It is a super-2 number, since 2×101131034401² (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 (101131034701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11558746 + ... + 11567491.

It is an arithmetic number, because the mean of its divisors is an integer number (25288541253).

Almost surely, 2^101131034401 is an apocalyptic number.

It is an amenable number.

101131034401 is a deficient number, since it is larger than the sum of its proper divisors (23130611).

101131034401 is an equidigital number, since it uses as much as digits as its factorization.

101131034401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23130610.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101131034401 its reverse (104430131101), we get a palindrome (205561165502).

The spelling of 101131034401 in words is "one hundred one billion, one hundred thirty-one million, thirty-four thousand, four hundred one".