102121104 has 80 divisors (see below), whose sum is σ = 277160832. Its totient is φ = 32338944.

The previous prime is 102121069. The next prime is 102121109. The reversal of 102121104 is 401121201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 102121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257034 + ... + 257430.

Almost surely, 2^102121104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138580416).

102121104 is an abundant number, since it is smaller than the sum of its proper divisors (175039728).

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

102121104 is a wasteful number, since it uses less digits than its factorization.

102121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 102121104 is about 10105.4987012022. The cubic root of 102121104 is about 467.4177139817.

Adding to 102121104 its reverse (401121201), we get a palindrome (503242305).

The spelling of 102121104 in words is "one hundred two million, one hundred twenty-one thousand, one hundred four".