102020100012020 has 24 divisors (see below), whose sum is σ = 214926689942664. Its totient is φ = 40677662877696.

The previous prime is 102020100012013. The next prime is 102020100012029. The reversal of 102020100012020 is 20210001020201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6571029813604 + 95449070198416 = 2563402^2 + 9769804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102020100011992 and 102020100012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020100012029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8148564029 + ... + 8148576548.

It is an arithmetic number, because the mean of its divisors is an integer number (8955278747611).

Almost surely, 2^{102020100012020} is an apocalyptic number.

102020100012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020100012020 is an abundant number, since it is smaller than the sum of its proper divisors (112906589930644).

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

102020100012020 is a wasteful number, since it uses less digits than its factorization.

102020100012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16297140899 (or 16297140897 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102020100012020 its reverse (20210001020201), we get a palindrome (122230101032221).

The spelling of 102020100012020 in words is "one hundred two trillion, twenty billion, one hundred million, twelve thousand, twenty".