2010102020100 has 216 divisors, whose sum is σ = 6677759736648. Its totient is φ = 503998156800.

The previous prime is 2010102020081. The next prime is 2010102020123. The reversal of 2010102020100 is 10202010102.

It can be written as a sum of positive squares in 12 ways, for example, as 51468181956 + 1958633838144 = 226866^2 + 1399512^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15556962 + ... + 15685638.

Almost surely, 2^{2010102020100} is an apocalyptic number.

2010102020100 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 2010102020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338879868324).

2010102020100 is an abundant number, since it is smaller than the sum of its proper divisors (4667657716548).

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

2010102020100 is a wasteful number, since it uses less digits than its factorization.

2010102020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129735 (or 129725 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2010102020100 its reverse (10202010102), we get a palindrome (2020304030202).

The spelling of 2010102020100 in words is "two trillion, ten billion, one hundred two million, twenty thousand, one hundred".