101001000012 has 48 divisors (see below), whose sum is σ = 257130048000. Its totient is φ = 30602007360.

The previous prime is 101000999951. The next prime is 101001000017. The reversal of 101001000012 is 210000100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (101001000017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 945789 + ... + 1047147.

It is an arithmetic number, because the mean of its divisors is an integer number (5356876000).

Almost surely, 2^101001000012 is an apocalyptic number.

101001000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001000012 is an abundant number, since it is smaller than the sum of its proper divisors (156129047988).

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

101001000012 is a wasteful number, since it uses less digits than its factorization.

101001000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108926 (or 108924 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101001000012 its reverse (210000100101), we get a palindrome (311001100113).

The spelling of 101001000012 in words is "one hundred one billion, one million, twelve", and thus it is an aban number.