101001001220112 has 160 divisors (see below), whose sum is σ = 313620361297920. Its totient is φ = 27399628039680.

The previous prime is 101001001220099. The next prime is 101001001220129. The reversal of 101001001220112 is 211022100100101.

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

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, 90926412 + ... + 92030507.

It is an arithmetic number, because the mean of its divisors is an integer number (1960127258112).

Almost surely, 2^{101001001220112} is an apocalyptic number.

101001001220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001001220112 is an abundant number, since it is smaller than the sum of its proper divisors (212619360077808).

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

101001001220112 is a wasteful number, since it uses less digits than its factorization.

101001001220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182957021 (or 182957015 counting only the distinct ones).

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

Adding to 101001001220112 its reverse (211022100100101), we get a palindrome (312023101320213).

The spelling of 101001001220112 in words is "one hundred one trillion, one billion, one million, two hundred twenty thousand, one hundred twelve".