10121000012112 has 160 divisors (see below), whose sum is σ = 29507795130240. Its totient is φ = 2962539520000.

The previous prime is 10121000012047. The next prime is 10121000012143. The reversal of 10121000012112 is 21121000012101.

It is a super-2 number, since 2×10121000012112² (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 31 ways as a sum of consecutive naturals, for example, 128037 + ... + 4500932.

It is an arithmetic number, because the mean of its divisors is an integer number (184423719564).

Almost surely, 2^{10121000012112} is an apocalyptic number.

10121000012112 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 10121000012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753897565120).

10121000012112 is an abundant number, since it is smaller than the sum of its proper divisors (19386795118128).

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

10121000012112 is a wasteful number, since it uses less digits than its factorization.

10121000012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629133 (or 4629127 counting only the distinct ones).

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

Adding to 10121000012112 its reverse (21121000012101), we get a palindrome (31242000024213).

The spelling of 10121000012112 in words is "ten trillion, one hundred twenty-one billion, twelve thousand, one hundred twelve".