101200122110020 has 24 divisors (see below), whose sum is σ = 217703677321368. Its totient is φ = 39492730579200.

The previous prime is 101200122109993. The next prime is 101200122110041. The reversal of 101200122110020 is 20011221002101.

It can be written as a sum of positive squares in 4 ways, for example, as 1265071560516 + 99935050549504 = 1124754^2 + 9996752^2 .

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, 61707390711 + ... + 61707392350.

It is an arithmetic number, because the mean of its divisors is an integer number (9070986555057).

Almost surely, 2^{101200122110020} is an apocalyptic number.

101200122110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200122110020 is an abundant number, since it is smaller than the sum of its proper divisors (116503555211348).

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

101200122110020 is a wasteful number, since it uses less digits than its factorization.

101200122110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123414783111 (or 123414783109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101200122110020 its reverse (20011221002101), we get a palindrome (121211343112121).

The spelling of 101200122110020 in words is "one hundred one trillion, two hundred billion, one hundred twenty-two million, one hundred ten thousand, twenty".