102211010222200 has 192 divisors, whose sum is σ = 272903691974400. Its totient is φ = 35209517414400.

The previous prime is 102211010222197. The next prime is 102211010222239. The reversal of 102211010222200 is 2222010112201.

It is a happy number.

It is a super-2 number, since 2×102211010222200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909804432 + ... + 909916768.

It is an arithmetic number, because the mean of its divisors is an integer number (1421373395700).

Almost surely, 2^{102211010222200} is an apocalyptic number.

102211010222200 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 102211010222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136451845987200).

102211010222200 is an abundant number, since it is smaller than the sum of its proper divisors (170692681752200).

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

102211010222200 is a wasteful number, since it uses less digits than its factorization.

102211010222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134150 (or 134141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102211010222200 its reverse (2222010112201), we get a palindrome (104433020334401).

The spelling of 102211010222200 in words is "one hundred two trillion, two hundred eleven billion, ten million, two hundred twenty-two thousand, two hundred".