102210212200010 has 128 divisors (see below), whose sum is σ = 201412473191424. Its totient is φ = 37192187289600.

The previous prime is 102210212200003. The next prime is 102210212200021. The reversal of 102210212200010 is 10002212012201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1412350847 + ... + 1412423213.

It is an arithmetic number, because the mean of its divisors is an integer number (1573534946808).

Almost surely, 2^{102210212200010} is an apocalyptic number.

102210212200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102210212200010 is a deficient number, since it is larger than the sum of its proper divisors (99202260991414).

102210212200010 is a wasteful number, since it uses less digits than its factorization.

102210212200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74448.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102210212200010 its reverse (10002212012201), we get a palindrome (112212424212211).

The spelling of 102210212200010 in words is "one hundred two trillion, two hundred ten billion, two hundred twelve million, two hundred thousand, ten".