101202001112201 has 12 divisors (see below), whose sum is σ = 117782008102836. Its totient is φ = 86589947473920.

The previous prime is 101202001112197. The next prime is 101202001112231. The reversal of 101202001112201 is 102211100202101.

It can be written as a sum of positive squares in 2 ways, for example, as 89489726929801 + 11712274182400 = 9459901^2 + 3422320^2 .

It is not a de Polignac number, because 101202001112201 - 2² = 101202001112197 is a prime.

It is a super-2 number, since 2×101202001112201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101202001112231) 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 11 ways as a sum of consecutive naturals, for example, 24599414840 + ... + 24599418953.

It is an arithmetic number, because the mean of its divisors is an integer number (9815167341903).

Almost surely, 2^{101202001112201} is an apocalyptic number.

101202001112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202001112201 is a deficient number, since it is larger than the sum of its proper divisors (16580006990635).

101202001112201 is a wasteful number, since it uses less digits than its factorization.

101202001112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49198833832 (or 49198833821 counting only the distinct ones).

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

Adding to 101202001112201 its reverse (102211100202101), we get a palindrome (203413101314302).

The spelling of 101202001112201 in words is "one hundred one trillion, two hundred two billion, one million, one hundred twelve thousand, two hundred one".