10001002121112 has 32 divisors (see below), whose sum is σ = 25114624174080. Its totient is φ = 3318718190880.

The previous prime is 10001002121069. The next prime is 10001002121203. The reversal of 10001002121112 is 21112120010001.

It is a super-2 number, since 2×10001002121112² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 934318464 + ... + 934329167.

It is an arithmetic number, because the mean of its divisors is an integer number (784832005440).

Almost surely, 2^{10001002121112} is an apocalyptic number.

10001002121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001002121112 is an abundant number, since it is smaller than the sum of its proper divisors (15113622052968).

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

10001002121112 is a wasteful number, since it uses less digits than its factorization.

10001002121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868647863 (or 1868647859 counting only the distinct ones).

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

Adding to 10001002121112 its reverse (21112120010001), we get a palindrome (31113122131113).

The spelling of 10001002121112 in words is "ten trillion, one billion, two million, one hundred twenty-one thousand, one hundred twelve".