10112012021001 has 48 divisors (see below), whose sum is σ = 15106419082944. Its totient is φ = 6011103120000.

The previous prime is 10112012020969. The next prime is 10112012021047. The reversal of 10112012021001 is 10012021021101.

It is not a de Polignac number, because 10112012021001 - 2⁵ = 10112012020969 is a prime.

It is a super-3 number, since 3×10112012021001³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10112012021071) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2634111 + ... + 5211771.

It is an arithmetic number, because the mean of its divisors is an integer number (314717064228).

Almost surely, 2^{10112012021001} is an apocalyptic number.

10112012021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112012021001 is a deficient number, since it is larger than the sum of its proper divisors (4994407061943).

10112012021001 is a wasteful number, since it uses less digits than its factorization.

10112012021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577894 (or 2577883 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112012021001 its reverse (10012021021101), we get a palindrome (20124033042102).

It can be divided in two parts, 101120 and 12021001, that added together give a palindrome (12122121).

The spelling of 10112012021001 in words is "ten trillion, one hundred twelve billion, twelve million, twenty-one thousand, one".