101002210002210 has 512 divisors, whose sum is σ = 284525069230080. Its totient is φ = 22689386496000.

The previous prime is 101002210002209. The next prime is 101002210002251. The reversal of 101002210002210 is 12200012200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45640401064 + ... + 45640403276.

It is an arithmetic number, because the mean of its divisors is an integer number (555713025840).

Almost surely, 2^{101002210002210} is an apocalyptic number.

101002210002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002210002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142262534615040).

101002210002210 is an abundant number, since it is smaller than the sum of its proper divisors (183522859227870).

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

101002210002210 is a wasteful number, since it uses less digits than its factorization.

101002210002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101002210002210 its reverse (12200012200101), we get a palindrome (113202222202311).

The spelling of 101002210002210 in words is "one hundred one trillion, two billion, two hundred ten million, two thousand, two hundred ten".