10012002101112 has 64 divisors (see below), whose sum is σ = 27316666569600. Its totient is φ = 3032694887040.

The previous prime is 10012002101081. The next prime is 10012002101119. The reversal of 10012002101112 is 21110120021001.

It is a super-2 number, since 2×10012002101112² (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 not an unprimeable number, because it can be changed into a prime (10012002101119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7137562 + ... + 8424297.

It is an arithmetic number, because the mean of its divisors is an integer number (426822915150).

Almost surely, 2^{10012002101112} is an apocalyptic number.

10012002101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012002101112 is an abundant number, since it is smaller than the sum of its proper divisors (17304664468488).

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

10012002101112 is a wasteful number, since it uses less digits than its factorization.

10012002101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15564316 (or 15564312 counting only the distinct ones).

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

Adding to 10012002101112 its reverse (21110120021001), we get a palindrome (31122122122113).

The spelling of 10012002101112 in words is "ten trillion, twelve billion, two million, one hundred one thousand, one hundred twelve".