101100100120012 has 96 divisors (see below), whose sum is σ = 209736076726400. Its totient is φ = 42612835104000.

The previous prime is 101100100119923. The next prime is 101100100120013. The reversal of 101100100120012 is 210021001001101.

It is not an unprimeable number, because it can be changed into a prime (101100100120013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687958462 + ... + 688105402.

Almost surely, 2^{101100100120012} 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 101100100120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104868038363200).

101100100120012 is an abundant number, since it is smaller than the sum of its proper divisors (108635976606388).

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

101100100120012 is a wasteful number, since it uses less digits than its factorization.

101100100120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155248 (or 155232 counting only the distinct ones).

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

Adding to 101100100120012 its reverse (210021001001101), we get a palindrome (311121101121113).

The spelling of 101100100120012 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred twenty thousand, twelve".