102100110200220 has 96 divisors (see below), whose sum is σ = 322623545771520. Its totient is φ = 23898040418560.

The previous prime is 102100110200201. The next prime is 102100110200269. The reversal of 102100110200220 is 22002011001201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102100110200196 and 102100110200205.

It is a congruent number.

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, 2667172872 + ... + 2667211151.

It is an arithmetic number, because the mean of its divisors is an integer number (3360661935120).

Almost surely, 2^{102100110200220} is an apocalyptic number.

102100110200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100110200220 is an abundant number, since it is smaller than the sum of its proper divisors (220523435571300).

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

102100110200220 is a wasteful number, since it uses less digits than its factorization.

102100110200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334384075 (or 5334384073 counting only the distinct ones).

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

Adding to 102100110200220 its reverse (22002011001201), we get a palindrome (124102121201421).

The spelling of 102100110200220 in words is "one hundred two trillion, one hundred billion, one hundred ten million, two hundred thousand, two hundred twenty".