101251412641 has 4 divisors (see below), whose sum is σ = 101255294484. Its totient is φ = 101247530800.

The previous prime is 101251412621. The next prime is 101251412671. The reversal of 101251412641 is 146214152101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 146214152101 = 93383 ⋅1565747.

It can be written as a sum of positive squares in 2 ways, for example, as 32452221025 + 68799191616 = 180145^2 + 262296^2 .

It is a cyclic number.

It is not a de Polignac number, because 101251412641 - 2¹⁷ = 101251281569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101251412611) 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, 1901530 + ... + 1954051.

It is an arithmetic number, because the mean of its divisors is an integer number (25313823621).

Almost surely, 2^101251412641 is an apocalyptic number.

It is an amenable number.

101251412641 is a deficient number, since it is larger than the sum of its proper divisors (3881843).

101251412641 is an equidigital number, since it uses as much as digits as its factorization.

101251412641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881842.

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 101251412641 its reverse (146214152101), we get a palindrome (247465564742).

The spelling of 101251412641 in words is "one hundred one billion, two hundred fifty-one million, four hundred twelve thousand, six hundred forty-one".