110101211310000 has 100 divisors (see below), whose sum is σ = 355421390367032. Its totient is φ = 29360323008000.

The previous prime is 110101211309989. The next prime is 110101211310001. The reversal of 110101211310000 is 13112101011.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×110101211310000² (a number of 29 digits) contains 22 as substring.

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 (110101211310001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1834990189 + ... + 1835050188.

Almost surely, 2^{110101211310000} is an apocalyptic number.

110101211310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110101211310000 is an abundant number, since it is smaller than the sum of its proper divisors (245320179057032).

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

110101211310000 is an equidigital number, since it uses as much as digits as its factorization.

110101211310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670040408 (or 3670040387 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 110101211310000 its reverse (13112101011), we get a palindrome (110114323411011).

The spelling of 110101211310000 in words is "one hundred ten trillion, one hundred one billion, two hundred eleven million, three hundred ten thousand".