10210101120010 has 64 divisors (see below), whose sum is σ = 21272594181120. Its totient is φ = 3487070725120.

The previous prime is 10210101120007. The next prime is 10210101120013. The reversal of 10210101120010 is 1002110101201.

It is an interprime number because it is at equal distance from previous prime (10210101120007) and next prime (10210101120013).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10210101120013) 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 31 ways as a sum of consecutive naturals, for example, 4803589 + ... + 6595048.

It is an arithmetic number, because the mean of its divisors is an integer number (332384284080).

Almost surely, 2^{10210101120010} is an apocalyptic number.

10210101120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10210101120010 is an abundant number, since it is smaller than the sum of its proper divisors (11062493061110).

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

10210101120010 is a wasteful number, since it uses less digits than its factorization.

10210101120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399151.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10210101120010 its reverse (1002110101201), we get a palindrome (11212211221211).

The spelling of 10210101120010 in words is "ten trillion, two hundred ten billion, one hundred one million, one hundred twenty thousand, ten".