10101269440 has 112 divisors (see below), whose sum is σ = 26809293600. Its totient is φ = 3602644992.

The previous prime is 10101269419. The next prime is 10101269443. The reversal of 10101269440 is 4496210101.

It is a junction number, because it is equal to n+sod(n) for n = 10101269399 and 10101269408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101269443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54496 + ... + 152224.

Almost surely, 2^10101269440 is an apocalyptic number.

10101269440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13404646800).

10101269440 is an abundant number, since it is smaller than the sum of its proper divisors (16708024160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101269440 is a wasteful number, since it uses less digits than its factorization.

10101269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97782 (or 97772 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 10101269440 its reverse (4496210101), we get a palindrome (14597479541).

The spelling of 10101269440 in words is "ten billion, one hundred one million, two hundred sixty-nine thousand, four hundred forty".