10121110001112 has 128 divisors (see below), whose sum is σ = 27916142641920. Its totient is φ = 3032299200000.

The previous prime is 10121110001087. The next prime is 10121110001141. The reversal of 10121110001112 is 21110001112101.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18420723 + ... + 18962205.

It is an arithmetic number, because the mean of its divisors is an integer number (218094864390).

Almost surely, 2^{10121110001112} is an apocalyptic number.

10121110001112 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 10121110001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958071320960).

10121110001112 is an abundant number, since it is smaller than the sum of its proper divisors (17795032640808).

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

10121110001112 is a wasteful number, since it uses less digits than its factorization.

10121110001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542305 (or 542301 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10121110001112 its reverse (21110001112101), we get a palindrome (31231111113213).

It can be divided in two parts, 101 and 21110001112, that multiplied together give a palindrome (2132110112312).

The spelling of 10121110001112 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, one thousand, one hundred twelve".