2010101020000 has 120 divisors (see below), whose sum is σ = 4946136692112. Its totient is φ = 803880000000.

The previous prime is 2010101019977. The next prime is 2010101020009. The reversal of 2010101020000 is 201010102.

It is a super-2 number, since 2×2010101020000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010101020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198014925 + ... + 198025075.

Almost surely, 2^{2010101020000} is an apocalyptic number.

2010101020000 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 2010101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473068346056).

2010101020000 is an abundant number, since it is smaller than the sum of its proper divisors (2936035672112).

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

2010101020000 is an equidigital number, since it uses as much as digits as its factorization.

2010101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20082 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2010101020000 its reverse (201010102), we get a palindrome (2010302030102).

2010101020000 divided by its reverse (201010102) gives a 4-th power (10000 = 10⁴).

The spelling of 2010101020000 in words is "two trillion, ten billion, one hundred one million, twenty thousand".