101000010000020 has 24 divisors (see below), whose sum is σ = 212925312921384. Its totient is φ = 40242805538816.

The previous prime is 101000009999897. The next prime is 101000010000073. The reversal of 101000010000020 is 20000010000101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7046497666576 + 93953512333444 = 2654524^2 + 9692962^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 101000009999959 and 101000010000013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9824898557 + ... + 9824908836.

It is an arithmetic number, because the mean of its divisors is an integer number (8871888038391).

Almost surely, 2^{101000010000020} is an apocalyptic number.

101000010000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000010000020 is an abundant number, since it is smaller than the sum of its proper divisors (111925302921364).

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

101000010000020 is a wasteful number, since it uses less digits than its factorization.

101000010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19649807659 (or 19649807657 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 101000010000020 its reverse (20000010000101), we get a palindrome (121000020000121).

The spelling of 101000010000020 in words is "one hundred one trillion, ten million, twenty", and thus it is an aban number.