2010121100010 has 256 divisors, whose sum is σ = 5580629913600. Its totient is φ = 514249731072.

The previous prime is 2010121099963. The next prime is 2010121100017. The reversal of 2010121100010 is 100011210102.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2010121099965 and 2010121100001.

It is not an unprimeable number, because it can be changed into a prime (2010121100017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 910792327 + ... + 910794533.

It is an arithmetic number, because the mean of its divisors is an integer number (21799335600).

Almost surely, 2^{2010121100010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010121100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790314956800).

2010121100010 is an abundant number, since it is smaller than the sum of its proper divisors (3570508813590).

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

2010121100010 is a wasteful number, since it uses less digits than its factorization.

2010121100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2936 counting only the distinct ones).

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

Adding to 2010121100010 its reverse (100011210102), we get a palindrome (2110132310112).

The spelling of 2010121100010 in words is "two trillion, ten billion, one hundred twenty-one million, one hundred thousand, ten".