101011100010012 has 36 divisors (see below), whose sum is σ = 255341394112896. Its totient is φ = 33669340709760.

The previous prime is 101011100009987. The next prime is 101011100010017. The reversal of 101011100010012 is 210010001110101.

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 = 101011100009976 and 101011100010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011100010017) 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, 41550013 + ... + 43913844.

It is an arithmetic number, because the mean of its divisors is an integer number (7092816503136).

Almost surely, 2^{101011100010012} is an apocalyptic number.

101011100010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011100010012 is an abundant number, since it is smaller than the sum of its proper divisors (154330294102884).

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

101011100010012 is a wasteful number, since it uses less digits than its factorization.

101011100010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85496698 (or 85496693 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011100010012 its reverse (210010001110101), we get a palindrome (311021101120113).

The spelling of 101011100010012 in words is "one hundred one trillion, eleven billion, one hundred million, ten thousand, twelve".