101002011111211 has 16 divisors (see below), whose sum is σ = 117888657490944. Its totient is φ = 84729868259904.

The previous prime is 101002011111193. The next prime is 101002011111223. The reversal of 101002011111211 is 112111110200101.

It is not a de Polignac number, because 101002011111211 - 2⁹ = 101002011110699 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002011111191 and 101002011111200.

It is not an unprimeable number, because it can be changed into a prime (101002012111211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19385716 + ... + 24037678.

It is an arithmetic number, because the mean of its divisors is an integer number (7368041093184).

Almost surely, 2^{101002011111211} is an apocalyptic number.

101002011111211 is a deficient number, since it is larger than the sum of its proper divisors (16886646379733).

101002011111211 is an equidigital number, since it uses as much as digits as its factorization.

101002011111211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718010.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101002011111211 its reverse (112111110200101), we get a palindrome (213113121311312).

The spelling of 101002011111211 in words is "one hundred one trillion, two billion, eleven million, one hundred eleven thousand, two hundred eleven".