101000101201211 has 8 divisors (see below), whose sum is σ = 102508983312960. Its totient is φ = 99491260792968.

The previous prime is 101000101201157. The next prime is 101000101201213. The reversal of 101000101201211 is 112102101000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000101201211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000101201192 and 101000101201201.

It is not an unprimeable number, because it can be changed into a prime (101000101201213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5528921 + ... + 15250218.

It is an arithmetic number, because the mean of its divisors is an integer number (12813622914120).

Almost surely, 2^{101000101201211} is an apocalyptic number.

101000101201211 is a deficient number, since it is larger than the sum of its proper divisors (1508882111749).

101000101201211 is an equidigital number, since it uses as much as digits as its factorization.

101000101201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20851753.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101000101201211 its reverse (112102101000101), we get a palindrome (213102202201312).

The spelling of 101000101201211 in words is "one hundred one trillion, one hundred one million, two hundred one thousand, two hundred eleven".