10110132201120 has 96 divisors (see below), whose sum is σ = 36396475936128. Its totient is φ = 2310887359488.

The previous prime is 10110132201119. The next prime is 10110132201121. The reversal of 10110132201120 is 2110223101101.

It is an interprime number because it is at equal distance from previous prime (10110132201119) and next prime (10110132201121).

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

It is a super-2 number, since 2×10110132201120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10110132201120.

It is not an unprimeable number, because it can be changed into a prime (10110132201121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504480599 + ... + 1504487318.

It is an arithmetic number, because the mean of its divisors is an integer number (379129957668).

Almost surely, 2^{10110132201120} is an apocalyptic number.

10110132201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110132201120 is an abundant number, since it is smaller than the sum of its proper divisors (26286343735008).

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

10110132201120 is a wasteful number, since it uses less digits than its factorization.

10110132201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008967942 (or 3008967934 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10110132201120 its reverse (2110223101101), we get a palindrome (12220355302221).

The spelling of 10110132201120 in words is "ten trillion, one hundred ten billion, one hundred thirty-two million, two hundred one thousand, one hundred twenty".