102121000 has 32 divisors (see below), whose sum is σ = 238965480. Its totient is φ = 40848000.

The previous prime is 102120929. The next prime is 102121007. The reversal of 102121000 is 121201.

It can be written as a sum of positive squares in 4 ways, for example, as 5963364 + 96157636 = 2442^2 + 9806^2 .

It is not an unprimeable number, because it can be changed into a prime (102121007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50061 + ... + 52060.

Almost surely, 2^102121000 is an apocalyptic number.

102121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121000 is an abundant number, since it is smaller than the sum of its proper divisors (136844480).

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

102121000 is a wasteful number, since it uses less digits than its factorization.

102121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102142 (or 102128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 102121000 is about 10105.4935554875. The cubic root of 102121000 is about 467.4175553091.

Adding to 102121000 its reverse (121201), we get a palindrome (102242201).

The spelling of 102121000 in words is "one hundred two million, one hundred twenty-one thousand".