101210002020 has 144 divisors (see below), whose sum is σ = 316095697008. Its totient is φ = 26193715200.

The previous prime is 101210001979. The next prime is 101210002031. The reversal of 101210002020 is 20200012101.

It can be written as a sum of positive squares in 8 ways, for example, as 2377732644 + 98832269376 = 48762^2 + 314376^2 .

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 = 101210001993 and 101210002011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651712 + ... + 2689608.

It is an arithmetic number, because the mean of its divisors is an integer number (2195109007).

Almost surely, 2^101210002020 is an apocalyptic number.

101210002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101210002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158047848504).

101210002020 is an abundant number, since it is smaller than the sum of its proper divisors (214885694988).

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

101210002020 is a wasteful number, since it uses less digits than its factorization.

101210002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38350 (or 38345 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101210002020 its reverse (20200012101), we get a palindrome (121410014121).

The spelling of 101210002020 in words is "one hundred one billion, two hundred ten million, two thousand, twenty".