101200101121122 has 16 divisors (see below), whose sum is σ = 213052844465760. Its totient is φ = 31957926669792.

The previous prime is 101200101121081. The next prime is 101200101121159. The reversal of 101200101121122 is 221121101002101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443860092523 + ... + 443860092750.

It is an arithmetic number, because the mean of its divisors is an integer number (13315802779110).

Almost surely, 2^{101200101121122} is an apocalyptic number.

101200101121122 is an abundant number, since it is smaller than the sum of its proper divisors (111852743344638).

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

101200101121122 is a wasteful number, since it uses less digits than its factorization.

101200101121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887720185297.

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

Adding to 101200101121122 its reverse (221121101002101), we get a palindrome (322321202123223).

The spelling of 101200101121122 in words is "one hundred one trillion, two hundred billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-two".