100102000210011 has 24 divisors (see below), whose sum is σ = 146464339207680. Its totient is φ = 65870895735216.

The previous prime is 100102000210007. The next prime is 100102000210013. The reversal of 100102000210011 is 110012000201001.

It is a happy number.

It is not a de Polignac number, because 100102000210011 - 2² = 100102000210007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102000209975 and 100102000210002.

It is not an unprimeable number, because it can be changed into a prime (100102000210013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17865621 + ... + 22790006.

It is an arithmetic number, because the mean of its divisors is an integer number (6102680800320).

Almost surely, 2^{100102000210011} is an apocalyptic number.

100102000210011 is a deficient number, since it is larger than the sum of its proper divisors (46362338997669).

100102000210011 is a wasteful number, since it uses less digits than its factorization.

100102000210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40659175 (or 40659172 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102000210011 its reverse (110012000201001), we get a palindrome (210114000411012).

The spelling of 100102000210011 in words is "one hundred trillion, one hundred two billion, two hundred ten thousand, eleven".