100001021102011 has 16 divisors (see below), whose sum is σ = 102821510937600. Its totient is φ = 97198719163200.

The previous prime is 100001021101999. The next prime is 100001021102023. The reversal of 100001021102011 is 110201120100001.

It is an interprime number because it is at equal distance from previous prime (100001021101999) and next prime (100001021102023).

It is a cyclic number.

It is not a de Polignac number, because 100001021102011 - 2⁵ = 100001021101979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100001021102911) 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, 374740650 + ... + 375007408.

It is an arithmetic number, because the mean of its divisors is an integer number (6426344433600).

Almost surely, 2^{100001021102011} is an apocalyptic number.

100001021102011 is a deficient number, since it is larger than the sum of its proper divisors (2820489835589).

100001021102011 is a wasteful number, since it uses less digits than its factorization.

100001021102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300810.

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

Adding to 100001021102011 its reverse (110201120100001), we get a palindrome (210202141202012).

The spelling of 100001021102011 in words is "one hundred trillion, one billion, twenty-one million, one hundred two thousand, eleven".