101202121201 has 8 divisors (see below), whose sum is σ = 107158030920. Its totient is φ = 95246527488.

The previous prime is 101202121159. The next prime is 101202121231. The reversal of 101202121201 is 102121202101.

It can be written as a sum of positive squares in 4 ways, for example, as 34328678400 + 66873442801 = 185280^2 + 258599^2 .

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 101202121201 - 2⁹ = 101202120689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202121231) 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 7 ways as a sum of consecutive naturals, for example, 1007005 + ... + 1102933.

It is an arithmetic number, because the mean of its divisors is an integer number (13394753865).

Almost surely, 2^101202121201 is an apocalyptic number.

It is an amenable number.

101202121201 is a deficient number, since it is larger than the sum of its proper divisors (5955909719).

101202121201 is an equidigital number, since it uses as much as digits as its factorization.

101202121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158003.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101202121201 its reverse (102121202101), we get a palindrome (203323323302).

The spelling of 101202121201 in words is "one hundred one billion, two hundred two million, one hundred twenty-one thousand, two hundred one".