10122002010 has 48 divisors (see below), whose sum is σ = 26813768904. Its totient is φ = 2648270976.

The previous prime is 10122001991. The next prime is 10122002017. The reversal of 10122002010 is 1020022101.

It can be written as a sum of positive squares in 4 ways, for example, as 6697294569 + 3424707441 = 81837^2 + 58521^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10122001983 and 10122002001.

It is not an unprimeable number, because it can be changed into a prime (10122002017) 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, 1056237 + ... + 1065776.

Almost surely, 2^10122002010 is an apocalyptic number.

10122002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122002010 is an abundant number, since it is smaller than the sum of its proper divisors (16691766894).

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

10122002010 is a wasteful number, since it uses less digits than its factorization.

10122002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122079 (or 2122076 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10122002010 its reverse (1020022101), we get a palindrome (11142024111).

The spelling of 10122002010 in words is "ten billion, one hundred twenty-two million, two thousand, ten".