101001122020 has 12 divisors (see below), whose sum is σ = 212102356284. Its totient is φ = 40400448800.

The previous prime is 101001121909. The next prime is 101001122149. The reversal of 101001122020 is 20221100101.

It can be written as a sum of positive squares in 2 ways, for example, as 76497602724 + 24503519296 = 276582^2 + 156536^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101001121988 and 101001122006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525028031 + ... + 2525028070.

It is an arithmetic number, because the mean of its divisors is an integer number (17675196357).

Almost surely, 2^101001122020 is an apocalyptic number.

101001122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001122020 is an abundant number, since it is smaller than the sum of its proper divisors (111101234264).

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

101001122020 is a wasteful number, since it uses less digits than its factorization.

101001122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050056110 (or 5050056108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101001122020 its reverse (20221100101), we get a palindrome (121222222121).

The spelling of 101001122020 in words is "one hundred one billion, one million, one hundred twenty-two thousand, twenty".