10101011002020 has 72 divisors (see below), whose sum is σ = 30639992193720. Its totient is φ = 2693580180480.

The previous prime is 10101011001953. The next prime is 10101011002037. The reversal of 10101011002020 is 2020011010101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1510672060836 + 8590338941184 = 1229094^2 + 2930928^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101011001993 and 10101011002011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41153260 + ... + 41397980.

It is an arithmetic number, because the mean of its divisors is an integer number (425555447135).

Almost surely, 2^{10101011002020} is an apocalyptic number.

10101011002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101011002020 is an abundant number, since it is smaller than the sum of its proper divisors (20538981191700).

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

10101011002020 is a wasteful number, since it uses less digits than its factorization.

10101011002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474045 (or 474040 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101011002020 its reverse (2020011010101), we get a palindrome (12121022012121).

The spelling of 10101011002020 in words is "ten trillion, one hundred one billion, eleven million, two thousand, twenty".