102100011220 has 24 divisors (see below), whose sum is σ = 214604457984. Its totient is φ = 40802969376.

The previous prime is 102100011191. The next prime is 102100011227. The reversal of 102100011220 is 22110001201.

102100011220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102100011220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102100011197 and 102100011206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2292084 + ... + 2336203.

It is an arithmetic number, because the mean of its divisors is an integer number (8941852416).

Almost surely, 2^102100011220 is an apocalyptic number.

102100011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100011220 is an abundant number, since it is smaller than the sum of its proper divisors (112504446764).

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

102100011220 is a wasteful number, since it uses less digits than its factorization.

102100011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629399 (or 4629397 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100011220 its reverse (22110001201), we get a palindrome (124210012421).

The spelling of 102100011220 in words is "one hundred two billion, one hundred million, eleven thousand, two hundred twenty".