101002200002020 has 36 divisors (see below), whose sum is σ = 217151998818300. Its totient is φ = 39461324637504.

The previous prime is 101002200001979. The next prime is 101002200002023. The reversal of 101002200002020 is 20200002200101.

It can be written as a sum of positive squares in 2 ways, for example, as 32475227279616 + 68526972722404 = 5698704^2 + 8278102^2 .

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 = 101002200001988 and 101002200002006.

It is not an unprimeable number, because it can be changed into a prime (101002200002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1365595795 + ... + 1365669754.

It is an arithmetic number, because the mean of its divisors is an integer number (6031999967175).

Almost surely, 2^{101002200002020} is an apocalyptic number.

101002200002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002200002020 is an abundant number, since it is smaller than the sum of its proper divisors (116149798816280).

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

101002200002020 is a wasteful number, since it uses less digits than its factorization.

101002200002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731265644 (or 2731265599 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 101002200002020 its reverse (20200002200101), we get a palindrome (121202202202121).

The spelling of 101002200002020 in words is "one hundred one trillion, two billion, two hundred million, two thousand, twenty".