102211010200 has 96 divisors (see below), whose sum is σ = 258455176560. Its totient is φ = 37365696000.

The previous prime is 102211010179. The next prime is 102211010257. The reversal of 102211010200 is 2010112201.

It is a super-2 number, since 2×102211010200² (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 congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 67987 + ... + 457213.

Almost surely, 2^102211010200 is an apocalyptic number.

102211010200 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 102211010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129227588280).

102211010200 is an abundant number, since it is smaller than the sum of its proper divisors (156244166360).

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

102211010200 is a wasteful number, since it uses less digits than its factorization.

102211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389357 (or 389348 counting only the distinct ones).

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

Adding to 102211010200 its reverse (2010112201), we get a palindrome (104221122401).

The spelling of 102211010200 in words is "one hundred two billion, two hundred eleven million, ten thousand, two hundred".