101001020102020 has 48 divisors (see below), whose sum is σ = 214204113548208. Its totient is φ = 40000039833600.

The previous prime is 101001020101901. The next prime is 101001020102033. The reversal of 101001020102020 is 20201020100101.

It can be written as a sum of positive squares in 8 ways, for example, as 3319108272964 + 97681911829056 = 1821842^2 + 9883416^2 .

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 = 101001020101988 and 101001020102006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373841704 + ... + 374111776.

It is an arithmetic number, because the mean of its divisors is an integer number (4462585698921).

Almost surely, 2^{101001020102020} is an apocalyptic number.

101001020102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001020102020 is an abundant number, since it is smaller than the sum of its proper divisors (113203093446188).

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

101001020102020 is a wasteful number, since it uses less digits than its factorization.

101001020102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455320 (or 455318 counting only the distinct ones).

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

Adding to 101001020102020 its reverse (20201020100101), we get a palindrome (121202040202121).

The spelling of 101001020102020 in words is "one hundred one trillion, one billion, twenty million, one hundred two thousand, twenty".