101011011010112 has 42 divisors (see below), whose sum is σ = 233169231098502. Its totient is φ = 43290433288704.

The previous prime is 101011011010079. The next prime is 101011011010153. The reversal of 101011011010112 is 211010110110101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 73738217713216 + 27272793296896 = 8587096^2 + 5222336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101011011010093 and 101011011010102.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 16105068773 + ... + 16105075044.

Almost surely, 2^{101011011010112} is an apocalyptic number.

It is an amenable number.

101011011010112 is an abundant number, since it is smaller than the sum of its proper divisors (132158220088390).

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

101011011010112 is an equidigital number, since it uses as much as digits as its factorization.

101011011010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32210143843 (or 32210143826 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101011011010112 its reverse (211010110110101), we get a palindrome (312021121120213).

The spelling of 101011011010112 in words is "one hundred one trillion, eleven billion, eleven million, ten thousand, one hundred twelve".