102200210220010 has 32 divisors (see below), whose sum is σ = 219381320823552. Its totient is φ = 33516590680320.

The previous prime is 102200210219959. The next prime is 102200210220011. The reversal of 102200210220010 is 10022012002201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102200210220011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31739194111 + ... + 31739197330.

It is an arithmetic number, because the mean of its divisors is an integer number (6855666275736).

Almost surely, 2^{102200210220010} is an apocalyptic number.

102200210220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102200210220010 is an abundant number, since it is smaller than the sum of its proper divisors (117181110603542).

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

102200210220010 is a wasteful number, since it uses less digits than its factorization.

102200210220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63478391478.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102200210220010 its reverse (10022012002201), we get a palindrome (112222222222211).

The spelling of 102200210220010 in words is "one hundred two trillion, two hundred billion, two hundred ten million, two hundred twenty thousand, ten".