10101506241120 has 96 divisors (see below), whose sum is σ = 36365422480128. Its totient is φ = 2308915711488.

The previous prime is 10101506241107. The next prime is 10101506241157. The reversal of 10101506241120 is 2114260510101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503196974 + ... + 1503203693.

It is an arithmetic number, because the mean of its divisors is an integer number (378806484168).

Almost surely, 2^{10101506241120} is an apocalyptic number.

10101506241120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101506241120 is an abundant number, since it is smaller than the sum of its proper divisors (26263916239008).

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

10101506241120 is a wasteful number, since it uses less digits than its factorization.

10101506241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006400692 (or 3006400684 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 10101506241120 its reverse (2114260510101), we get a palindrome (12215766751221).

The spelling of 10101506241120 in words is "ten trillion, one hundred one billion, five hundred six million, two hundred forty-one thousand, one hundred twenty".