100102001210111 has 16 divisors (see below), whose sum is σ = 101578262570400. Its totient is φ = 98637378048000.

The previous prime is 100102001210089. The next prime is 100102001210147. The reversal of 100102001210111 is 111012100201001.

It is a cyclic number.

It is not a de Polignac number, because 100102001210111 - 2¹⁰ = 100102001209087 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102001210092 and 100102001210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102001210011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11008175 + ... + 17927183.

It is an arithmetic number, because the mean of its divisors is an integer number (6348641410650).

Almost surely, 2^{100102001210111} is an apocalyptic number.

100102001210111 is a deficient number, since it is larger than the sum of its proper divisors (1476261360289).

100102001210111 is a wasteful number, since it uses less digits than its factorization.

100102001210111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919850.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100102001210111 its reverse (111012100201001), we get a palindrome (211114101411112).

The spelling of 100102001210111 in words is "one hundred trillion, one hundred two billion, one million, two hundred ten thousand, one hundred eleven".