102111221120220 has 144 divisors (see below), whose sum is σ = 333886863989952. Its totient is φ = 25110689909760.

The previous prime is 102111221120197. The next prime is 102111221120221. The reversal of 102111221120220 is 22021122111201.

102111221120220 is a `hidden beast` number, since 1 + 0 + 211 + 1 + 2 + 211 + 20 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102111221120193 and 102111221120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111221120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18750057 + ... + 23575136.

It is an arithmetic number, because the mean of its divisors is an integer number (2318658777708).

Almost surely, 2^{102111221120220} is an apocalyptic number.

102111221120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111221120220 is an abundant number, since it is smaller than the sum of its proper divisors (231775642869732).

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

102111221120220 is a wasteful number, since it uses less digits than its factorization.

102111221120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42326252 (or 42326247 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102111221120220 its reverse (22021122111201), we get a palindrome (124132343231421).

The spelling of 102111221120220 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty".