102222210211100 has 288 divisors, whose sum is σ = 267384636288000. Its totient is φ = 33137017159680.

The previous prime is 102222210211097. The next prime is 102222210211111. The reversal of 102222210211100 is 1112012222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21345207506 + ... + 21345212294.

It is an arithmetic number, because the mean of its divisors is an integer number (928418876000).

Almost surely, 2^{102222210211100} is an apocalyptic number.

102222210211100 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 102222210211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133692318144000).

102222210211100 is an abundant number, since it is smaller than the sum of its proper divisors (165162426076900).

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

102222210211100 is a wasteful number, since it uses less digits than its factorization.

102222210211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7678 counting only the distinct ones).

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

Adding to 102222210211100 its reverse (1112012222201), we get a palindrome (103334222433301).

The spelling of 102222210211100 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred ten million, two hundred eleven thousand, one hundred".