102100121112210 has 64 divisors (see below), whose sum is σ = 263890681367040. Its totient is φ = 25132229164800.

The previous prime is 102100121112133. The next prime is 102100121112239. The reversal of 102100121112210 is 12211121001201.

It is a happy number.

It is a super-4 number, since 4×102100121112210⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102100121112210.

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 31 ways as a sum of consecutive naturals, for example, 126875796 + ... + 127677984.

It is an arithmetic number, because the mean of its divisors is an integer number (4123291896360).

Almost surely, 2^{102100121112210} is an apocalyptic number.

102100121112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100121112210 is an abundant number, since it is smaller than the sum of its proper divisors (161790560254830).

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

102100121112210 is a wasteful number, since it uses less digits than its factorization.

102100121112210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128563.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102100121112210 its reverse (12211121001201), we get a palindrome (114311242113411).

The spelling of 102100121112210 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, one hundred twelve thousand, two hundred ten".