110000010001152 has 288 divisors, whose sum is σ = 306138345103360. Its totient is φ = 35022274560000.

The previous prime is 110000010001151. The next prime is 110000010001163. The reversal of 110000010001152 is 251100010000011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110000010001151) 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, 6321467652 + ... + 6321485052.

Almost surely, 2^{110000010001152} is an apocalyptic number.

110000010001152 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 110000010001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153069172551680).

110000010001152 is an abundant number, since it is smaller than the sum of its proper divisors (196138335102208).

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

110000010001152 is a wasteful number, since it uses less digits than its factorization.

110000010001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20891 (or 20877 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 110000010001152 its reverse (251100010000011), we get a palindrome (361100020001163).

The spelling of 110000010001152 in words is "one hundred ten trillion, ten million, one thousand, one hundred fifty-two".