102100221022110 has 64 divisors (see below), whose sum is σ = 257017784804352. Its totient is φ = 25927232651136.

The previous prime is 102100221022091. The next prime is 102100221022117. The reversal of 102100221022110 is 11220122001201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102100221022110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100221022117) 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 31 ways as a sum of consecutive naturals, for example, 978481672 + ... + 978586011.

It is an arithmetic number, because the mean of its divisors is an integer number (4015902887568).

Almost surely, 2^{102100221022110} is an apocalyptic number.

102100221022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100221022110 is an abundant number, since it is smaller than the sum of its proper divisors (154917563782242).

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

102100221022110 is a wasteful number, since it uses less digits than its factorization.

102100221022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957067777.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102100221022110 its reverse (11220122001201), we get a palindrome (113320343023311).

The spelling of 102100221022110 in words is "one hundred two trillion, one hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred ten".