101210100000012 has 18 divisors (see below), whose sum is σ = 255836641666788. Its totient is φ = 33736699999992.

The previous prime is 101210099999909. The next prime is 101210100000041. The reversal of 101210100000012 is 210000001012101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1405695833298 + ... + 1405695833369.

It is an arithmetic number, because the mean of its divisors is an integer number (14213146759266).

Almost surely, 2^{101210100000012} is an apocalyptic number.

101210100000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101210100000012 is an abundant number, since it is smaller than the sum of its proper divisors (154626541666776).

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

101210100000012 is a wasteful number, since it uses less digits than its factorization.

101210100000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811391666677 (or 2811391666672 counting only the distinct ones).

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

Adding to 101210100000012 its reverse (210000001012101), we get a palindrome (311210101012113).

The spelling of 101210100000012 in words is "one hundred one trillion, two hundred ten billion, one hundred million, twelve", and thus it is an aban number.