101211012011 has 16 divisors (see below), whose sum is σ = 106944614400. Its totient is φ = 95518696608.

The previous prime is 101211011953. The next prime is 101211012037. The reversal of 101211012011 is 110210112101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101211012011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101211011983 and 101211012001.

It is not an unprimeable number, because it can be changed into a prime (101211012211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6374000 + ... + 6389858.

It is an arithmetic number, because the mean of its divisors is an integer number (6684038400).

Almost surely, 2^101211012011 is an apocalyptic number.

101211012011 is a deficient number, since it is larger than the sum of its proper divisors (5733602389).

101211012011 is a wasteful number, since it uses less digits than its factorization.

101211012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17138.

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

Adding to 101211012011 its reverse (110210112101), we get a palindrome (211421124112).

The spelling of 101211012011 in words is "one hundred one billion, two hundred eleven million, twelve thousand, eleven".