100102121211101 has 16 divisors (see below), whose sum is σ = 101259980279808. Its totient is φ = 98947659888000.

The previous prime is 100102121211013. The next prime is 100102121211107. The reversal of 100102121211101 is 101112121201001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102121211101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102121211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156523481 + ... + 157161713.

It is an arithmetic number, because the mean of its divisors is an integer number (6328748767488).

Almost surely, 2^{100102121211101} is an apocalyptic number.

It is an amenable number.

100102121211101 is a deficient number, since it is larger than the sum of its proper divisors (1157859068707).

100102121211101 is a wasteful number, since it uses less digits than its factorization.

100102121211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640892.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100102121211101 its reverse (101112121201001), we get a palindrome (201214242412102).

The spelling of 100102121211101 in words is "one hundred trillion, one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred one".