100102000102211 has 32 divisors (see below), whose sum is σ = 107622931564800. Its totient is φ = 92820637532160.

The previous prime is 100102000102201. The next prime is 100102000102319. The reversal of 100102000102211 is 112201000201001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102000102211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102000102192 and 100102000102201.

It is not an unprimeable number, because it can be changed into a prime (100102000102201) 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 31 ways as a sum of consecutive naturals, for example, 634598831 + ... + 634756551.

It is an arithmetic number, because the mean of its divisors is an integer number (3363216611400).

Almost surely, 2^{100102000102211} is an apocalyptic number.

100102000102211 is a deficient number, since it is larger than the sum of its proper divisors (7520931462589).

100102000102211 is a wasteful number, since it uses less digits than its factorization.

100102000102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160259.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102000102211 its reverse (112201000201001), we get a palindrome (212303000303212).

The spelling of 100102000102211 in words is "one hundred trillion, one hundred two billion, one hundred two thousand, two hundred eleven".