101101201000212 has 48 divisors (see below), whose sum is σ = 269611343164800. Its totient is φ = 28885185232512.

The previous prime is 101101201000207. The next prime is 101101201000243. The reversal of 101101201000212 is 212000102101101.

101101201000212 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15369663 + ... + 20938694.

It is an arithmetic number, because the mean of its divisors is an integer number (5616902982600).

Almost surely, 2^{101101201000212} is an apocalyptic number.

101101201000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101201000212 is an abundant number, since it is smaller than the sum of its proper divisors (168510142164588).

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

101101201000212 is a wasteful number, since it uses less digits than its factorization.

101101201000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36341520 (or 36341518 counting only the distinct ones).

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

Adding to 101101201000212 its reverse (212000102101101), we get a palindrome (313101303101313).

The spelling of 101101201000212 in words is "one hundred one trillion, one hundred one billion, two hundred one million, two hundred twelve", and thus it is an aban number.