102020020020100 has 576 divisors, whose sum is σ = 292889253888000. Its totient is φ = 30564962910720.

The previous prime is 102020020020091. The next prime is 102020020020133. The reversal of 102020020020100 is 1020020020201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13411330497 + ... + 13411338103.

It is an arithmetic number, because the mean of its divisors is an integer number (508488288000).

Almost surely, 2^{102020020020100} is an apocalyptic number.

102020020020100 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 102020020020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146444626944000).

102020020020100 is an abundant number, since it is smaller than the sum of its proper divisors (190869233867900).

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

102020020020100 is a wasteful number, since it uses less digits than its factorization.

102020020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9257 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102020020020100 its reverse (1020020020201), we get a palindrome (103040040040301).

The spelling of 102020020020100 in words is "one hundred two trillion, twenty billion, twenty million, twenty thousand, one hundred".