101212122012 has 96 divisors (see below), whose sum is σ = 261193766400. Its totient is φ = 30341025792.

The previous prime is 101212121977. The next prime is 101212122041. The reversal of 101212122012 is 210221212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212121982 and 101212122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4770564 + ... + 4791732.

It is an arithmetic number, because the mean of its divisors is an integer number (2720768400).

Almost surely, 2^101212122012 is an apocalyptic number.

101212122012 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 101212122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130596883200).

101212122012 is an abundant number, since it is smaller than the sum of its proper divisors (159981644388).

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

101212122012 is a wasteful number, since it uses less digits than its factorization.

101212122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22235 (or 22233 counting only the distinct ones).

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

Adding to 101212122012 its reverse (210221212101), we get a palindrome (311433334113).

The spelling of 101212122012 in words is "one hundred one billion, two hundred twelve million, one hundred twenty-two thousand, twelve".