102020202020100 has 864 divisors, whose sum is σ = 376884230587648. Its totient is φ = 20733926400000.

The previous prime is 102020202020053. The next prime is 102020202020117. The reversal of 102020202020100 is 1020202020201.

It is a super-2 number, since 2×102020202020100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10304025150 + ... + 10304035050.

Almost surely, 2^{102020202020100} is an apocalyptic number.

102020202020100 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 102020202020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188442115293824).

102020202020100 is an abundant number, since it is smaller than the sum of its proper divisors (274864028567548).

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

102020202020100 is a wasteful number, since it uses less digits than its factorization.

102020202020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10177 (or 10069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102020202020100 its reverse (1020202020201), we get a palindrome (103040404040301).

102020202020100 divided by its reverse (1020202020201) gives a square (100 = 10²).

The spelling of 102020202020100 in words is "one hundred two trillion, twenty billion, two hundred two million, twenty thousand, one hundred".