102111221002220 has 192 divisors, whose sum is σ = 227785877028864. Its totient is φ = 38401442027520.

The previous prime is 102111221002211. The next prime is 102111221002277. The reversal of 102111221002220 is 22200122111201.

102111221002220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6938310302 + ... + 6938325018.

It is an arithmetic number, because the mean of its divisors is an integer number (1186384776192).

Almost surely, 2^{102111221002220} is an apocalyptic number.

102111221002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111221002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113892938514432).

102111221002220 is an abundant number, since it is smaller than the sum of its proper divisors (125674656026644).

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

102111221002220 is a wasteful number, since it uses less digits than its factorization.

102111221002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17568 (or 17566 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102111221002220 its reverse (22200122111201), we get a palindrome (124311343113421).

The spelling of 102111221002220 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, two thousand, two hundred twenty".