101264462101 has 6 divisors (see below), whose sum is σ = 111307218806. Its totient is φ = 92058601800.

The previous prime is 101264462099. The next prime is 101264462183.

101264462101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 88405128900 + 12859333201 = 297330^2 + 113399^2 .

It is not a de Polignac number, because 101264462101 - 2¹ = 101264462099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101264462101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101264462501) 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, 418448070 + ... + 418448311.

Almost surely, 2^101264462101 is an apocalyptic number.

101264462101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101264462101 is a deficient number, since it is larger than the sum of its proper divisors (10042756705).

101264462101 is an equidigital number, since it uses as much as digits as its factorization.

101264462101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836896403 (or 836896392 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 101264 and 462101, that added together give a palindrome (563365).

The spelling of 101264462101 in words is "one hundred one billion, two hundred sixty-four million, four hundred sixty-two thousand, one hundred one".