101101101001212 has 96 divisors (see below), whose sum is σ = 257907532345344. Its totient is φ = 30638773152000.

The previous prime is 101101101001181. The next prime is 101101101001223. The reversal of 101101101001212 is 212100101101101.

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 31 ways as a sum of consecutive naturals, for example, 13788178 + ... + 19806969.

It is an arithmetic number, because the mean of its divisors is an integer number (2686536795264).

Almost surely, 2^{101101101001212} is an apocalyptic number.

101101101001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101101001212 is an abundant number, since it is smaller than the sum of its proper divisors (156806431344132).

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

101101101001212 is a wasteful number, since it uses less digits than its factorization.

101101101001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33595459 (or 33595457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101101001212 its reverse (212100101101101), we get a palindrome (313201202102313).

The spelling of 101101101001212 in words is "one hundred one trillion, one hundred one billion, one hundred one million, one thousand, two hundred twelve".