10010001102012 has 192 divisors, whose sum is σ = 27635502504960. Its totient is φ = 3122459394048.

The previous prime is 10010001102001. The next prime is 10010001102139. The reversal of 10010001102012 is 21020110001001.

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 = 10010001101985 and 10010001102003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 780622233 + ... + 780635055.

It is an arithmetic number, because the mean of its divisors is an integer number (143934908880).

Almost surely, 2^{10010001102012} is an apocalyptic number.

10010001102012 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 10010001102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13817751252480).

10010001102012 is an abundant number, since it is smaller than the sum of its proper divisors (17625501402948).

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

10010001102012 is a wasteful number, since it uses less digits than its factorization.

10010001102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15249 (or 15241 counting only the distinct ones).

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

Adding to 10010001102012 its reverse (21020110001001), we get a palindrome (31030111103013).

It can be divided in two parts, 1001000 and 1102012, that added together give a palindrome (2103012).

The spelling of 10010001102012 in words is "ten trillion, ten billion, one million, one hundred two thousand, twelve".