101201010221201 has 16 divisors (see below), whose sum is σ = 111577045451328. Its totient is φ = 91023190209600.

The previous prime is 101201010221167. The next prime is 101201010221219. The reversal of 101201010221201 is 102122010102101.

It is not a de Polignac number, because 101201010221201 - 2⁴² = 96802963710097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101201010221221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54706070 + ... + 56525711.

It is an arithmetic number, because the mean of its divisors is an integer number (6973565340708).

Almost surely, 2^{101201010221201} is an apocalyptic number.

101201010221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201010221201 is a deficient number, since it is larger than the sum of its proper divisors (10376035230127).

101201010221201 is a wasteful number, since it uses less digits than its factorization.

101201010221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111232672.

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

Adding to 101201010221201 its reverse (102122010102101), we get a palindrome (203323020323302).

It can be divided in two parts, 1012010 and 10221201, that added together give a palindrome (11233211).

The spelling of 101201010221201 in words is "one hundred one trillion, two hundred one billion, ten million, two hundred twenty-one thousand, two hundred one".