101201120101122 has 32 divisors (see below), whose sum is σ = 205244262415872. Its totient is φ = 33260348893824.

The previous prime is 101201120101111. The next prime is 101201120101163. The reversal of 101201120101122 is 221101021102101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37773618 + ... + 40363949.

It is an arithmetic number, because the mean of its divisors is an integer number (6413883200496).

Almost surely, 2^{101201120101122} is an apocalyptic number.

101201120101122 is an abundant number, since it is smaller than the sum of its proper divisors (104043142314750).

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

101201120101122 is a wasteful number, since it uses less digits than its factorization.

101201120101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78140602.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101201120101122 its reverse (221101021102101), we get a palindrome (322302141203223).

The spelling of 101201120101122 in words is "one hundred one trillion, two hundred one billion, one hundred twenty million, one hundred one thousand, one hundred twenty-two".