101002010100020 has 48 divisors (see below), whose sum is σ = 215823350171520. Its totient is φ = 39695498772864.

The previous prime is 101002010099957. The next prime is 101002010100029. The reversal of 101002010100020 is 20001010200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002010099980 and 101002010100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002010100029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96361304 + ... + 97403823.

It is an arithmetic number, because the mean of its divisors is an integer number (4496319795240).

Almost surely, 2^{101002010100020} is an apocalyptic number.

101002010100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002010100020 is an abundant number, since it is smaller than the sum of its proper divisors (114821340071500).

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

101002010100020 is a wasteful number, since it uses less digits than its factorization.

101002010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193765592 (or 193765590 counting only the distinct ones).

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

Adding to 101002010100020 its reverse (20001010200101), we get a palindrome (121003020300121).

The spelling of 101002010100020 in words is "one hundred one trillion, two billion, ten million, one hundred thousand, twenty".