100101210011002 has 16 divisors (see below), whose sum is σ = 150696558428040. Its totient is φ = 49869030293568.

The previous prime is 100101210010951. The next prime is 100101210011123. The reversal of 100101210011002 is 200110012101001.

It can be written as a sum of positive squares in 4 ways, for example, as 95720766122601 + 4380443888401 = 9783699^2 + 2092951^2 .

It is a super-2 number, since 2×100101210011002² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100101210011002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30149488 + ... + 33304564.

Almost surely, 2^{100101210011002} is an apocalyptic number.

100101210011002 is a deficient number, since it is larger than the sum of its proper divisors (50595348417038).

100101210011002 is a wasteful number, since it uses less digits than its factorization.

100101210011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212625.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100101210011002 its reverse (200110012101001), we get a palindrome (300211222112003).

The spelling of 100101210011002 in words is "one hundred trillion, one hundred one billion, two hundred ten million, eleven thousand, two".