10100101022020 has 12 divisors (see below), whose sum is σ = 21210212146284. Its totient is φ = 4040040408800.

The previous prime is 10100101022017. The next prime is 10100101022021. The reversal of 10100101022020 is 2022010100101.

It can be written as a sum of positive squares in 2 ways, for example, as 4202508200004 + 5897592822016 = 2050002^2 + 2428496^2 .

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 = 10100101021988 and 10100101022006.

It is not an unprimeable number, because it can be changed into a prime (10100101022021) 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, 252502525531 + ... + 252502525570.

It is an arithmetic number, because the mean of its divisors is an integer number (1767517678857).

Almost surely, 2^{10100101022020} is an apocalyptic number.

10100101022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100101022020 is an abundant number, since it is smaller than the sum of its proper divisors (11110111124264).

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

10100101022020 is a wasteful number, since it uses less digits than its factorization.

10100101022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505005051110 (or 505005051108 counting only the distinct ones).

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

Adding to 10100101022020 its reverse (2022010100101), we get a palindrome (12122111122121).

The spelling of 10100101022020 in words is "ten trillion, one hundred billion, one hundred one million, twenty-two thousand, twenty".