101000100010002 has 8 divisors (see below), whose sum is σ = 202000200020016. Its totient is φ = 33666700003332.

The previous prime is 101000100009979. The next prime is 101000100010039. The reversal of 101000100010002 is 200010001000101.

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

101000100010002 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (6), and also a Moran number because the ratio is a prime number: 16833350001667 = 101000100010002 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8416675000828 + ... + 8416675000839.

It is an arithmetic number, because the mean of its divisors is an integer number (25250025002502).

Almost surely, 2^{101000100010002} is an apocalyptic number.

101000100010002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101000100010002 is a wasteful number, since it uses less digits than its factorization.

101000100010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16833350001672.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101000100010002 its reverse (200010001000101), we get a palindrome (301010101010103).

Subtracting 101000100010002 from its reverse (200010001000101), we obtain a palindrome (99009900990099).

The spelling of 101000100010002 in words is "one hundred one trillion, one hundred million, ten thousand, two".