101111010102201 has 8 divisors (see below), whose sum is σ = 147070560148704. Its totient is φ = 61279400061920.

The previous prime is 101111010102187. The next prime is 101111010102203. The reversal of 101111010102201 is 102201010111101.

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 101111010102201 - 2⁷ = 101111010102073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101111010102203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1531985001516 + ... + 1531985001581.

It is an arithmetic number, because the mean of its divisors is an integer number (18383820018588).

Almost surely, 2^{101111010102201} is an apocalyptic number.

101111010102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111010102201 is a deficient number, since it is larger than the sum of its proper divisors (45959550046503).

101111010102201 is a wasteful number, since it uses less digits than its factorization.

101111010102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063970003111.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111010102201 its reverse (102201010111101), we get a palindrome (203312020213302).

The spelling of 101111010102201 in words is "one hundred one trillion, one hundred eleven billion, ten million, one hundred two thousand, two hundred one".