101012200212012 has 96 divisors (see below), whose sum is σ = 239565341111040. Its totient is φ = 33121847700480.

The previous prime is 101012200211999. The next prime is 101012200212017. The reversal of 101012200212012 is 210212002210101.

It is a junction number, because it is equal to n+sod(n) for n = 101012200211982 and 101012200212000.

It is not an unprimeable number, because it can be changed into a prime (101012200212017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593256163 + ... + 593426405.

It is an arithmetic number, because the mean of its divisors is an integer number (2495472303240).

Almost surely, 2^{101012200212012} is an apocalyptic number.

101012200212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012200212012 is an abundant number, since it is smaller than the sum of its proper divisors (138553140899028).

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

101012200212012 is a wasteful number, since it uses less digits than its factorization.

101012200212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173183 (or 173181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101012200212012 its reverse (210212002210101), we get a palindrome (311224202422113).

The spelling of 101012200212012 in words is "one hundred one trillion, twelve billion, two hundred million, two hundred twelve thousand, twelve".