102211110100 has 144 divisors (see below), whose sum is σ = 245799017856. Its totient is φ = 36580096000.

The previous prime is 102211110059. The next prime is 102211110151. The reversal of 102211110100 is 1011112201.

It is a super-2 number, since 2×102211110100² (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 47 ways as a sum of consecutive naturals, for example, 85675104 + ... + 85676296.

It is an arithmetic number, because the mean of its divisors is an integer number (1706937624).

Almost surely, 2^102211110100 is an apocalyptic number.

102211110100 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 102211110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122899508928).

102211110100 is an abundant number, since it is smaller than the sum of its proper divisors (143587907756).

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

102211110100 is a wasteful number, since it uses less digits than its factorization.

102211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102211110100 its reverse (1011112201), we get a palindrome (103222222301).

The spelling of 102211110100 in words is "one hundred two billion, two hundred eleven million, one hundred ten thousand, one hundred".