100102121000011 has 16 divisors (see below), whose sum is σ = 110360998450080. Its totient is φ = 90233839123200.

The previous prime is 100102120999967. The next prime is 100102121000029. The reversal of 100102121000011 is 110000121201001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102121000011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102121000711) 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, 522090721 + ... + 522282418.

It is an arithmetic number, because the mean of its divisors is an integer number (6897562403130).

Almost surely, 2^{100102121000011} is an apocalyptic number.

100102121000011 is a deficient number, since it is larger than the sum of its proper divisors (10258877450069).

100102121000011 is a wasteful number, since it uses less digits than its factorization.

100102121000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044373326.

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

Adding to 100102121000011 its reverse (110000121201001), we get a palindrome (210102242201012).

The spelling of 100102121000011 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, eleven", and thus it is an aban number.