101001011010012 has 60 divisors (see below), whose sum is σ = 264037706949016. Its totient is φ = 33666861708000.

The previous prime is 101001011009999. The next prime is 101001011010047. The reversal of 101001011010012 is 210010110100101.

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 = 101001011009976 and 101001011010003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100100343 + ... + 101104305.

Almost surely, 2^{101001011010012} is an apocalyptic number.

101001011010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001011010012 is an abundant number, since it is smaller than the sum of its proper divisors (163036695939004).

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

101001011010012 is a wasteful number, since it uses less digits than its factorization.

101001011010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314480 (or 1314469 counting only the distinct ones).

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

Adding to 101001011010012 its reverse (210010110100101), we get a palindrome (311011121110113).

The spelling of 101001011010012 in words is "one hundred one trillion, one billion, eleven million, ten thousand, twelve".