2010101120010 has 192 divisors, whose sum is σ = 5953132523520. Its totient is φ = 485735849280.

The previous prime is 2010101119981. The next prime is 2010101120017. The reversal of 2010101120010 is 100211010102.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010101119974 and 2010101120001.

It is not an unprimeable number, because it can be changed into a prime (2010101120017) 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 95 ways as a sum of consecutive naturals, for example, 115455 + ... + 2008365.

It is an arithmetic number, because the mean of its divisors is an integer number (31005898560).

Almost surely, 2^{2010101120010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010101120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976566261760).

2010101120010 is an abundant number, since it is smaller than the sum of its proper divisors (3943031403510).

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

2010101120010 is a wasteful number, since it uses less digits than its factorization.

2010101120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892975 (or 1892963 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2010101120010 its reverse (100211010102), we get a palindrome (2110312130112).

The spelling of 2010101120010 in words is "two trillion, ten billion, one hundred one million, one hundred twenty thousand, ten".