1002121110 has 48 divisors (see below), whose sum is σ = 2612978784. Its totient is φ = 266466816.

The previous prime is 1002121067. The next prime is 1002121111. The reversal of 1002121110 is 111212001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002121092 and 1002121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15999 + ... + 47541.

It is an arithmetic number, because the mean of its divisors is an integer number (54437058).

Almost surely, 2^1002121110 is an apocalyptic number.

1002121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002121110 is an abundant number, since it is smaller than the sum of its proper divisors (1610857674).

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

1002121110 is a wasteful number, since it uses less digits than its factorization.

1002121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31909 (or 31906 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1002121110 is about 31656.2965300744. The cubic root of 1002121110 is about 1000.7065373541.

Adding to 1002121110 its reverse (111212001), we get a palindrome (1113333111).

The spelling of 1002121110 in words is "one billion, two million, one hundred twenty-one thousand, one hundred ten".