101211210001 has 6 divisors (see below), whose sum is σ = 111248685506. Its totient is φ = 92010190800.

The previous prime is 101211209989. The next prime is 101211210017. The reversal of 101211210001 is 100012112101.

It can be written as a sum of positive squares in only one way, i.e., 75117653776 + 26093556225 = 274076^2 + 161535^2 .

It is not a de Polignac number, because 101211210001 - 2¹⁵ = 101211177233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101211210001.

It is not an unprimeable number, because it can be changed into a prime (101211210031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 418228020 + ... + 418228261.

Almost surely, 2^101211210001 is an apocalyptic number.

101211210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211210001 is a deficient number, since it is larger than the sum of its proper divisors (10037475505).

101211210001 is an equidigital number, since it uses as much as digits as its factorization.

101211210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836456303 (or 836456292 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101211210001 its reverse (100012112101), we get a palindrome (201223322102).

The spelling of 101211210001 in words is "one hundred one billion, two hundred eleven million, two hundred ten thousand, one".