102211128 has 48 divisors (see below), whose sum is σ = 281525400. Its totient is φ = 33491520.

The previous prime is 102211121. The next prime is 102211147. The reversal of 102211128 is 821112201.

It is a super-2 number, since 2×102211128² = 20894229374064768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 102211128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7783 + ... + 16278.

Almost surely, 2^102211128 is an apocalyptic number.

102211128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102211128 is an abundant number, since it is smaller than the sum of its proper divisors (179314272).

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

102211128 is a wasteful number, since it uses less digits than its factorization.

102211128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24132 (or 24125 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 102211128 is about 10109.9519286691. The cubic root of 102211128 is about 467.5550230261. Note that the first 3 decimals are identical.

Adding to 102211128 its reverse (821112201), we get a palindrome (923323329).

The spelling of 102211128 in words is "one hundred two million, two hundred eleven thousand, one hundred twenty-eight".