10001000121112 has 192 divisors, whose sum is σ = 25739865123840. Its totient is φ = 3580913952000.

The previous prime is 10001000121109. The next prime is 10001000121131. The reversal of 10001000121112 is 21112100010001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12331737 + ... + 13117687.

It is an arithmetic number, because the mean of its divisors is an integer number (134061797520).

Almost surely, 2^{10001000121112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001000121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869932561920).

10001000121112 is an abundant number, since it is smaller than the sum of its proper divisors (15738865002728).

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

10001000121112 is a wasteful number, since it uses less digits than its factorization.

10001000121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786222 (or 786211 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001000121112 its reverse (21112100010001), we get a palindrome (31113100131113).

It can be divided in two parts, 100010001 and 21112, that multiplied together give a palindrome (2111411141112).

The spelling of 10001000121112 in words is "ten trillion, one billion, one hundred twenty-one thousand, one hundred twelve".