10101506241152 has 64 divisors (see below), whose sum is σ = 20452215911400. Its totient is φ = 4968756854784.

The previous prime is 10101506241107. The next prime is 10101506241157. The reversal of 10101506241152 is 25114260510101.

It can be written as a sum of positive squares in 4 ways, for example, as 9826619945536 + 274886295616 = 3134744^2 + 524296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10101506241157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2245268 + ... + 5024364.

Almost surely, 2^{10101506241152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101506241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10226107955700).

10101506241152 is an abundant number, since it is smaller than the sum of its proper divisors (10350709670248).

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

10101506241152 is an equidigital number, since it uses as much as digits as its factorization.

10101506241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779573 (or 2779561 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

Adding to 10101506241152 its reverse (25114260510101), we get a palindrome (35215766751253).

The spelling of 10101506241152 in words is "ten trillion, one hundred one billion, five hundred six million, two hundred forty-one thousand, one hundred fifty-two".