101031121011 has 16 divisors (see below), whose sum is σ = 139510483200. Its totient is φ = 64958160288.

The previous prime is 101031120977. The next prime is 101031121027. The reversal of 101031121011 is 110121130101.

It is not a de Polignac number, because 101031121011 - 2⁶ = 101031120947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101031121111) 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 15 ways as a sum of consecutive naturals, for example, 577441 + ... + 731778.

It is an arithmetic number, because the mean of its divisors is an integer number (8719405200).

Almost surely, 2^101031121011 is an apocalyptic number.

101031121011 is a deficient number, since it is larger than the sum of its proper divisors (38479362189).

101031121011 is a wasteful number, since it uses less digits than its factorization.

101031121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310138.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101031121011 its reverse (110121130101), we get a palindrome (211152251112).

The spelling of 101031121011 in words is "one hundred one billion, thirty-one million, one hundred twenty-one thousand, eleven".