10101540504432 has 160 divisors (see below), whose sum is σ = 28491876403200. Its totient is φ = 3065169033216.

The previous prime is 10101540504403. The next prime is 10101540504437. The reversal of 10101540504432 is 23440504510101.

It is a super-2 number, since 2×10101540504432² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10101540504432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101540504437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557501869 + ... + 557519987.

It is an arithmetic number, because the mean of its divisors is an integer number (178074227520).

Almost surely, 2^{10101540504432} is an apocalyptic number.

10101540504432 is a gapful number since it is divisible by the number (12) 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 10101540504432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14245938201600).

10101540504432 is an abundant number, since it is smaller than the sum of its proper divisors (18390335898768).

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

10101540504432 is a wasteful number, since it uses less digits than its factorization.

10101540504432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30455 (or 30449 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 10101540504432 in words is "ten trillion, one hundred one billion, five hundred forty million, five hundred four thousand, four hundred thirty-two".