111212011010000 has 100 divisors (see below), whose sum is σ = 269266137507444. Its totient is φ = 44483030400000.

The previous prime is 111212011009949. The next prime is 111212011010003. The reversal of 111212011010000 is 10110212111.

It can be written as a sum of positive squares in 10 ways, for example, as 106260389159824 + 4951621850176 = 10308268^2 + 2225224^2 .

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

It is a super-2 number, since 2×111212011010000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212011010003) 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, 266601590 + ... + 267018410.

Almost surely, 2^{111212011010000} is an apocalyptic number.

111212011010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111212011010000 is an abundant number, since it is smaller than the sum of its proper divisors (158054126497444).

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

111212011010000 is an equidigital number, since it uses as much as digits as its factorization.

111212011010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443530 (or 443509 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111212011010000 its reverse (10110212111), we get a palindrome (111222121222111).

The spelling of 111212011010000 in words is "one hundred eleven trillion, two hundred twelve billion, eleven million, ten thousand".