101101011111012 has 144 divisors (see below), whose sum is σ = 276789177907200. Its totient is φ = 28615421419200.

The previous prime is 101101011110987. The next prime is 101101011111013. The reversal of 101101011111012 is 210111110101101.

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

It is not an unprimeable number, because it can be changed into a prime (101101011111013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23848812 + ... + 27766307.

It is an arithmetic number, because the mean of its divisors is an integer number (1922147068800).

Almost surely, 2^{101101011111012} is an apocalyptic number.

101101011111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101011111012 is an abundant number, since it is smaller than the sum of its proper divisors (175688166796188).

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

101101011111012 is a wasteful number, since it uses less digits than its factorization.

101101011111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51615238 (or 51615225 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101101011111012 its reverse (210111110101101), we get a palindrome (311212121212113).

The spelling of 101101011111012 in words is "one hundred one trillion, one hundred one billion, eleven million, one hundred eleven thousand, twelve".