101012002112112 has 320 divisors, whose sum is σ = 331368271073280. Its totient is φ = 25807012687872.

The previous prime is 101012002112083. The next prime is 101012002112141. The reversal of 101012002112112 is 211211200210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101012002112083) and next prime (101012002112141).

It is a junction number, because it is equal to n+sod(n) for n = 101012002112091 and 101012002112100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15527238 + ... + 21050394.

It is an arithmetic number, because the mean of its divisors is an integer number (1035525847104).

Almost surely, 2^{101012002112112} is an apocalyptic number.

101012002112112 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 101012002112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165684135536640).

101012002112112 is an abundant number, since it is smaller than the sum of its proper divisors (230356268961168).

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

101012002112112 is a wasteful number, since it uses less digits than its factorization.

101012002112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523320 (or 5523314 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101012002112112 its reverse (211211200210101), we get a palindrome (312223202322213).

The spelling of 101012002112112 in words is "one hundred one trillion, twelve billion, two million, one hundred twelve thousand, one hundred twelve".