20102102120100 has 2304 divisors, whose sum is σ = 87685011800064. Its totient is φ = 3415965696000.

The previous prime is 20102102120077. The next prime is 20102102120119. The reversal of 20102102120100 is 102120120102.

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 767 ways as a sum of consecutive naturals, for example, 5855547984 + ... + 5855551416.

It is an arithmetic number, because the mean of its divisors is an integer number (38057730816).

Almost surely, 2^{20102102120100} is an apocalyptic number.

20102102120100 is a gapful number since it is divisible by the number (20) 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 20102102120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43842505900032).

20102102120100 is an abundant number, since it is smaller than the sum of its proper divisors (67582909679964).

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

20102102120100 is a wasteful number, since it uses less digits than its factorization.

20102102120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20102102120100 its reverse (102120120102), we get a palindrome (20204222240202).

It can be divided in two parts, 20102102 and 120100, that added together give a palindrome (20222202).

The spelling of 20102102120100 in words is "twenty trillion, one hundred two billion, one hundred two million, one hundred twenty thousand, one hundred".