101012211111111 has 16 divisors (see below), whose sum is σ = 134742675170304. Its totient is φ = 67311614566944.

The previous prime is 101012211111013. The next prime is 101012211111113. The reversal of 101012211111111 is 111111112210101.

It is a happy number.

It is not a de Polignac number, because 101012211111111 - 2¹⁰ = 101012211110087 is a prime.

101012211111111 is a modest number, since divided by 11111111 gives 1010122 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012211111113) 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 15 ways as a sum of consecutive naturals, for example, 101966305 + ... + 102952181.

It is an arithmetic number, because the mean of its divisors is an integer number (8421417198144).

Almost surely, 2^{101012211111111} is an apocalyptic number.

101012211111111 is a deficient number, since it is larger than the sum of its proper divisors (33730464059193).

101012211111111 is a wasteful number, since it uses less digits than its factorization.

101012211111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000990.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 101012211111111 its reverse (111111112210101), we get a palindrome (212123323321212).

The spelling of 101012211111111 in words is "one hundred one trillion, twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred eleven".