1000102211101 has 16 divisors (see below), whose sum is σ = 1211098255360. Its totient is φ = 806734825200.

The previous prime is 1000102211083. The next prime is 1000102211123. The reversal of 1000102211101 is 1011122010001.

It is a cyclic number.

It is not a de Polignac number, because 1000102211101 - 2²³ = 1000093822493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102211131) 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, 24879141 + ... + 24919306.

It is an arithmetic number, because the mean of its divisors is an integer number (75693640960).

Almost surely, 2^{1000102211101} is an apocalyptic number.

It is an amenable number.

1000102211101 is a deficient number, since it is larger than the sum of its proper divisors (210996044259).

1000102211101 is a wasteful number, since it uses less digits than its factorization.

1000102211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49798624.

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

Adding to 1000102211101 its reverse (1011122010001), we get a palindrome (2011224221102).

The spelling of 1000102211101 in words is "one trillion, one hundred two million, two hundred eleven thousand, one hundred one".