110000101002012 has 576 divisors, whose sum is σ = 324201770081280. Its totient is φ = 31181361868800.

The previous prime is 110000101001969. The next prime is 110000101002031. The reversal of 110000101002012 is 210200101000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000101001985 and 110000101002003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11103265563 + ... + 11103275469.

It is an arithmetic number, because the mean of its divisors is an integer number (562850295280).

Almost surely, 2^{110000101002012} is an apocalyptic number.

110000101002012 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 110000101002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162100885040640).

110000101002012 is an abundant number, since it is smaller than the sum of its proper divisors (214201669079268).

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

110000101002012 is a wasteful number, since it uses less digits than its factorization.

110000101002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10314 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110000101002012 its reverse (210200101000011), we get a palindrome (320200202002023).

The spelling of 110000101002012 in words is "one hundred ten trillion, one hundred one million, two thousand, twelve".