101201210102201 has 32 divisors (see below), whose sum is σ = 117677143180800. Its totient is φ = 86012033863680.

The previous prime is 101201210102189. The next prime is 101201210102203. The reversal of 101201210102201 is 102201012102101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101201210102201 is a prime.

It is a super-2 number, since 2×101201210102201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201210102203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15813440 + ... + 21271278.

It is an arithmetic number, because the mean of its divisors is an integer number (3677410724400).

Almost surely, 2^{101201210102201} is an apocalyptic number.

101201210102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201210102201 is a deficient number, since it is larger than the sum of its proper divisors (16475933078599).

101201210102201 is a wasteful number, since it uses less digits than its factorization.

101201210102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458529.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101201210102201 its reverse (102201012102101), we get a palindrome (203402222204302).

The spelling of 101201210102201 in words is "one hundred one trillion, two hundred one billion, two hundred ten million, one hundred two thousand, two hundred one".