101000211210012 has 12 divisors (see below), whose sum is σ = 235667159490056. Its totient is φ = 33666737070000.

The previous prime is 101000211210011. The next prime is 101000211210077. The reversal of 101000211210012 is 210012112000101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8416684267501 = 101000211210012 / (1 + 0 + 1 + 0 + 0 + 0 + 2 + 1 + 1 + 2 + 1 + 0 + 0 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 101000211210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000211210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4208342133739 + ... + 4208342133762.

Almost surely, 2^{101000211210012} is an apocalyptic number.

101000211210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000211210012 is an abundant number, since it is smaller than the sum of its proper divisors (134666948280044).

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

101000211210012 is a wasteful number, since it uses less digits than its factorization.

101000211210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416684267508 (or 8416684267506 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101000211210012 its reverse (210012112000101), we get a palindrome (311012323210113).

The spelling of 101000211210012 in words is "one hundred one trillion, two hundred eleven million, two hundred ten thousand, twelve".