10000102122002 has 16 divisors (see below), whose sum is σ = 15109801779672. Its totient is φ = 4963502294400.

The previous prime is 10000102121993. The next prime is 10000102122007. The reversal of 10000102122002 is 20022120100001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5151170405161 + 4848931716841 = 2269619^2 + 2202029^2 .

It is not an unprimeable number, because it can be changed into a prime (10000102122007) 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, 49411088 + ... + 49613060.

Almost surely, 2^{10000102122002} is an apocalyptic number.

10000102122002 is a deficient number, since it is larger than the sum of its proper divisors (5109699657670).

10000102122002 is a wasteful number, since it uses less digits than its factorization.

10000102122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382813.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10000102122002 its reverse (20022120100001), we get a palindrome (30022222222003).

The spelling of 10000102122002 in words is "ten trillion, one hundred two million, one hundred twenty-two thousand, two".