110100212040 has 256 divisors, whose sum is σ = 406998950400. Its totient is φ = 23202791424.

The previous prime is 110100212039. The next prime is 110100212119. The reversal of 110100212040 is 40212001011.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10139254 + ... + 10150106.

It is an arithmetic number, because the mean of its divisors is an integer number (1589839650).

Almost surely, 2^110100212040 is an apocalyptic number.

110100212040 is a gapful number since it is divisible by the number (10) 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 110100212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203499475200).

110100212040 is an abundant number, since it is smaller than the sum of its proper divisors (296898738360).

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

110100212040 is a wasteful number, since it uses less digits than its factorization.

110100212040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110100212040 its reverse (40212001011), we get a palindrome (150312213051).

The spelling of 110100212040 in words is "one hundred ten billion, one hundred million, two hundred twelve thousand, forty".