10122002010112 has 104 divisors (see below), whose sum is σ = 21152969963136. Its totient is φ = 4838122684416.

The previous prime is 10122002010067. The next prime is 10122002010149. The reversal of 10122002010112 is 21101020022101.

It is a super-2 number, since 2×10122002010112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122002010092 and 10122002010101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7666638 + ... + 8889394.

Almost surely, 2^{10122002010112} 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 10122002010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10576484981568).

10122002010112 is an abundant number, since it is smaller than the sum of its proper divisors (11030967953024).

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

10122002010112 is an equidigital number, since it uses as much as digits as its factorization.

10122002010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222871 (or 1222849 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122002010112 its reverse (21101020022101), we get a palindrome (31223022032213).

The spelling of 10122002010112 in words is "ten trillion, one hundred twenty-two billion, two million, ten thousand, one hundred twelve".