101211121011 has 128 divisors (see below), whose sum is σ = 189252403200. Its totient is φ = 46417743360.

The previous prime is 101211121009. The next prime is 101211121019. The reversal of 101211121011 is 110121112101.

It is not a de Polignac number, because 101211121011 - 2¹ = 101211121009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101211121019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6547830 + ... + 6563268.

It is an arithmetic number, because the mean of its divisors is an integer number (1478534400).

Almost surely, 2^101211121011 is an apocalyptic number.

101211121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101211121011 is a deficient number, since it is larger than the sum of its proper divisors (88041282189).

101211121011 is a wasteful number, since it uses less digits than its factorization.

101211121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15569.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101211121011 its reverse (110121112101), we get a palindrome (211332233112).

It can be divided in two parts, 101211 and 121011, that added together give a palindrome (222222).

The spelling of 101211121011 in words is "one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, eleven".