101112001002210 has 32 divisors (see below), whose sum is σ = 264729602624832. Its totient is φ = 24512000242880.

The previous prime is 101112001002203. The next prime is 101112001002217. The reversal of 101112001002210 is 12200100211101.

It is an interprime number because it is at equal distance from previous prime (101112001002203) and next prime (101112001002217).

It is not an unprimeable number, because it can be changed into a prime (101112001002217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153200001189 + ... + 153200001848.

It is an arithmetic number, because the mean of its divisors is an integer number (8272800082026).

Almost surely, 2^{101112001002210} is an apocalyptic number.

101112001002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112001002210 is an abundant number, since it is smaller than the sum of its proper divisors (163617601622622).

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

101112001002210 is a wasteful number, since it uses less digits than its factorization.

101112001002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306400003058.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112001002210 its reverse (12200100211101), we get a palindrome (113312101213311).

The spelling of 101112001002210 in words is "one hundred one trillion, one hundred twelve billion, one million, two thousand, two hundred ten".