102020112210100 has 144 divisors (see below), whose sum is σ = 256498996013568. Its totient is φ = 34496044508160.

The previous prime is 102020112210031. The next prime is 102020112210109. The reversal of 102020112210100 is 1012211020201.

It is a super-3 number, since 3×102020112210100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020112210109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603559797 + ... + 603728803.

It is an arithmetic number, because the mean of its divisors is an integer number (1781243027872).

Almost surely, 2^{102020112210100} is an apocalyptic number.

102020112210100 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 102020112210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128249498006784).

102020112210100 is an abundant number, since it is smaller than the sum of its proper divisors (154478883803468).

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

102020112210100 is a wasteful number, since it uses less digits than its factorization.

102020112210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180914 (or 180907 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102020112210100 its reverse (1012211020201), we get a palindrome (103032323230301).

The spelling of 102020112210100 in words is "one hundred two trillion, twenty billion, one hundred twelve million, two hundred ten thousand, one hundred".