100101013102011 has 8 divisors (see below), whose sum is σ = 139270974750720. Its totient is φ = 63832530093992.

The previous prime is 100101013101959. The next prime is 100101013102033. The reversal of 100101013102011 is 110201310101001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100101013102011 - 2¹⁴ = 100101013085627 is a prime.

It is a super-3 number, since 3×100101013102011³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101013102711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 725369660091 + ... + 725369660228.

It is an arithmetic number, because the mean of its divisors is an integer number (17408871843840).

Almost surely, 2^{100101013102011} is an apocalyptic number.

100101013102011 is a deficient number, since it is larger than the sum of its proper divisors (39169961648709).

100101013102011 is a wasteful number, since it uses less digits than its factorization.

100101013102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450739320345.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100101013102011 its reverse (110201310101001), we get a palindrome (210302323203012).

The spelling of 100101013102011 in words is "one hundred trillion, one hundred one billion, thirteen million, one hundred two thousand, eleven".