101262126441 has 48 divisors (see below), whose sum is σ = 168576790464. Its totient is φ = 53714174976.

The previous prime is 101262126431. The next prime is 101262126499. The reversal of 101262126441 is 144621262101.

It is not a de Polignac number, because 101262126441 - 2⁷ = 101262126313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101262126399 and 101262126408.

It is not an unprimeable number, because it can be changed into a prime (101262126431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95115 + ... + 459968.

It is an arithmetic number, because the mean of its divisors is an integer number (3512016468).

Almost surely, 2^101262126441 is an apocalyptic number.

It is an amenable number.

101262126441 is a deficient number, since it is larger than the sum of its proper divisors (67314664023).

101262126441 is a wasteful number, since it uses less digits than its factorization.

101262126441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555190 (or 555183 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 101262126441 its reverse (144621262101), we get a palindrome (245883388542).

The spelling of 101262126441 in words is "one hundred one billion, two hundred sixty-two million, one hundred twenty-six thousand, four hundred forty-one".