101210406541 has 16 divisors (see below), whose sum is σ = 107578986480. Its totient is φ = 95082577920.

The previous prime is 101210406529. The next prime is 101210406581. The reversal of 101210406541 is 145604012101.

It can be written as a sum of positive squares in 8 ways, for example, as 6028901316 + 95181505225 = 77646^2 + 308515^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210406541 - 2¹⁷ = 101210275469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210406581) 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 15 ways as a sum of consecutive naturals, for example, 196756 + ... + 491053.

It is an arithmetic number, because the mean of its divisors is an integer number (6723686655).

Almost surely, 2^101210406541 is an apocalyptic number.

It is an amenable number.

101210406541 is a deficient number, since it is larger than the sum of its proper divisors (6368579939).

101210406541 is an equidigital number, since it uses as much as digits as its factorization.

101210406541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687984.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 101210406541 its reverse (145604012101), we get a palindrome (246814418642).

The spelling of 101210406541 in words is "one hundred one billion, two hundred ten million, four hundred six thousand, five hundred forty-one".