10101000102020 has 12 divisors (see below), whose sum is σ = 21212100214284. Its totient is φ = 4040400040800.

The previous prime is 10101000102019. The next prime is 10101000102077. The reversal of 10101000102020 is 2020100010101.

It can be written as a sum of positive squares in 2 ways, for example, as 5363865264004 + 4737134838016 = 2316002^2 + 2176496^2 .

It is a super-2 number, since 2×10101000102020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101000101989 and 10101000102007.

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 3 ways as a sum of consecutive naturals, for example, 252525002531 + ... + 252525002570.

It is an arithmetic number, because the mean of its divisors is an integer number (1767675017857).

Almost surely, 2^{10101000102020} is an apocalyptic number.

10101000102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101000102020 is an abundant number, since it is smaller than the sum of its proper divisors (11111100112264).

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

10101000102020 is a wasteful number, since it uses less digits than its factorization.

10101000102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505050005110 (or 505050005108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101000102020 its reverse (2020100010101), we get a palindrome (12121100112121).

The spelling of 10101000102020 in words is "ten trillion, one hundred one billion, one hundred two thousand, twenty".