101201210002011 has 64 divisors (see below), whose sum is σ = 161525413969920. Its totient is φ = 55163805615360.

The previous prime is 101201210001889. The next prime is 101201210002019. The reversal of 101201210002011 is 110200012102101.

It is not a de Polignac number, because 101201210002011 - 2²¹ = 101201207904859 is a prime.

It is a super-2 number, since 2×101201210002011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101201210002019) 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 63 ways as a sum of consecutive naturals, for example, 216555 + ... + 14228468.

It is an arithmetic number, because the mean of its divisors is an integer number (2523834593280).

Almost surely, 2^{101201210002011} is an apocalyptic number.

101201210002011 is a deficient number, since it is larger than the sum of its proper divisors (60324203967909).

101201210002011 is a wasteful number, since it uses less digits than its factorization.

101201210002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445256.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201210002011 its reverse (110200012102101), we get a palindrome (211401222104112).

The spelling of 101201210002011 in words is "one hundred one trillion, two hundred one billion, two hundred ten million, two thousand, eleven".