10000101210112 has 96 divisors (see below), whose sum is σ = 21536807947200. Its totient is φ = 4614705414144.

The previous prime is 10000101210109. The next prime is 10000101210133. The reversal of 10000101210112 is 21101210100001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192918214 + ... + 192970042.

It is an arithmetic number, because the mean of its divisors is an integer number (224341749450).

Almost surely, 2^{10000101210112} 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 10000101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10768403973600).

10000101210112 is an abundant number, since it is smaller than the sum of its proper divisors (11536706737088).

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

10000101210112 is an equidigital number, since it uses as much as digits as its factorization.

10000101210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59111 (or 59091 counting only the distinct ones).

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

Adding to 10000101210112 its reverse (21101210100001), we get a palindrome (31101311310113).

It can be divided in two parts, 1000010 and 1210112, that added together give a palindrome (2210122).

The spelling of 10000101210112 in words is "ten trillion, one hundred one million, two hundred ten thousand, one hundred twelve".