101100012012 has 36 divisors (see below), whose sum is σ = 255612229600. Its totient is φ = 33692900832.

The previous prime is 101100012011. The next prime is 101100012029. The reversal of 101100012012 is 210210001101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101100011985 and 101100012003.

It is not an unprimeable number, because it can be changed into a prime (101100012011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121387 + ... + 465762.

Almost surely, 2^101100012012 is an apocalyptic number.

101100012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100012012 is an abundant number, since it is smaller than the sum of its proper divisors (154512217588).

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

101100012012 is a wasteful number, since it uses less digits than its factorization.

101100012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591942 (or 591937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100012012 its reverse (210210001101), we get a palindrome (311310013113).

The spelling of 101100012012 in words is "one hundred one billion, one hundred million, twelve thousand, twelve".