101201120102020 has 12 divisors (see below), whose sum is σ = 212522352214284. Its totient is φ = 40480448040800.

The previous prime is 101201120101987. The next prime is 101201120102021. The reversal of 101201120102020 is 20201021102101.

It can be written as a sum of positive squares in 2 ways, for example, as 76989288117316 + 24211831984704 = 8774354^2 + 4920552^2 .

It is not an unprimeable number, because it can be changed into a prime (101201120102021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2530028002531 + ... + 2530028002570.

It is an arithmetic number, because the mean of its divisors is an integer number (17710196017857).

Almost surely, 2^{101201120102020} is an apocalyptic number.

101201120102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201120102020 is an abundant number, since it is smaller than the sum of its proper divisors (111321232112264).

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

101201120102020 is a wasteful number, since it uses less digits than its factorization.

101201120102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060056005110 (or 5060056005108 counting only the distinct ones).

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

Adding to 101201120102020 its reverse (20201021102101), we get a palindrome (121402141204121).

The spelling of 101201120102020 in words is "one hundred one trillion, two hundred one billion, one hundred twenty million, one hundred two thousand, twenty".