101011002122211 has 8 divisors (see below), whose sum is σ = 135487811230464. Its totient is φ = 66937430547720.

The previous prime is 101011002122209. The next prime is 101011002122213. The reversal of 101011002122211 is 112221200110101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101011002122209) and next prime (101011002122213).

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

It is not a de Polignac number, because 101011002122211 - 2¹ = 101011002122209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011002122213) 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 7 ways as a sum of consecutive naturals, for example, 100809382855 + ... + 100809383856.

It is an arithmetic number, because the mean of its divisors is an integer number (16935976403808).

Almost surely, 2^{101011002122211} is an apocalyptic number.

101011002122211 is a deficient number, since it is larger than the sum of its proper divisors (34476809108253).

101011002122211 is a wasteful number, since it uses less digits than its factorization.

101011002122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201618766881.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101011002122211 its reverse (112221200110101), we get a palindrome (213232202232312).

The spelling of 101011002122211 in words is "one hundred one trillion, eleven billion, two million, one hundred twenty-two thousand, two hundred eleven".