102122000 has 40 divisors (see below), whose sum is σ = 246935832. Its totient is φ = 40848000.

The previous prime is 102121951. The next prime is 102122011. The reversal of 102122000 is 221201.

It can be written as a sum of positive squares in 4 ways, for example, as 27541504 + 74580496 = 5248^2 + 8636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23531 + ... + 27530.

Almost surely, 2^102122000 is an apocalyptic number.

102122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122000 is an abundant number, since it is smaller than the sum of its proper divisors (144813832).

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

102122000 is an equidigital number, since it uses as much as digits as its factorization.

102122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51084 (or 51068 counting only the distinct ones).

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

The square root of 102122000 is about 10105.5430334050. The cubic root of 102122000 is about 467.4190810026.

Adding to 102122000 its reverse (221201), we get a palindrome (102343201).

The spelling of 102122000 in words is "one hundred two million, one hundred twenty-two thousand".