10201122212020 has 24 divisors (see below), whose sum is σ = 21634459190568. Its totient is φ = 4040048400000.

The previous prime is 10201122212011. The next prime is 10201122212081. The reversal of 10201122212020 is 2021222110201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3879749605264 + 6321372606756 = 1969708^2 + 2514234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201122211985 and 10201122212003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2525028231 + ... + 2525032270.

It is an arithmetic number, because the mean of its divisors is an integer number (901435799607).

Almost surely, 2^{10201122212020} is an apocalyptic number.

10201122212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201122212020 is an abundant number, since it is smaller than the sum of its proper divisors (11433336978548).

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

10201122212020 is a wasteful number, since it uses less digits than its factorization.

10201122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050060611 (or 5050060609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201122212020 its reverse (2021222110201), we get a palindrome (12222344322221).

It can be divided in two parts, 10201 and 122212020, that added together give a palindrome (122222221).

The spelling of 10201122212020 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, two hundred twelve thousand, twenty".