10100100101002 has 8 divisors (see below), whose sum is σ = 15436002041316. Its totient is φ = 4954766087232.

The previous prime is 10100100100939. The next prime is 10100100101009. The reversal of 10100100101002 is 20010100100101.

It can be written as a sum of positive squares in 2 ways, for example, as 9132550484121 + 967549616881 = 3022011^2 + 983641^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10100100101002² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100100101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47641981503 + ... + 47641981714.

Almost surely, 2^{10100100101002} is an apocalyptic number.

10100100101002 is a deficient number, since it is larger than the sum of its proper divisors (5335901940314).

10100100101002 is an equidigital number, since it uses as much as digits as its factorization.

10100100101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95283963272.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100100101002 its reverse (20010100100101), we get a palindrome (30110200201103).

Subtracting 10100100101002 from its reverse (20010100100101), we obtain a palindrome (9909999999099).

The spelling of 10100100101002 in words is "ten trillion, one hundred billion, one hundred million, one hundred one thousand, two".