101141141101 has 32 divisors (see below), whose sum is σ = 138360192768. Its totient is φ = 71376215040.

The previous prime is 101141141083. The next prime is 101141141117.

101141141101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101141141101 - 2⁹ = 101141140589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141141201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900156 + ... + 1006261.

It is an arithmetic number, because the mean of its divisors is an integer number (4323756024).

Almost surely, 2^101141141101 is an apocalyptic number.

101141141101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101141141101 is a deficient number, since it is larger than the sum of its proper divisors (37219051667).

101141141101 is a wasteful number, since it uses less digits than its factorization.

101141141101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906501.

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

It can be divided in two parts, 101141 and 141101, that added together give a palindrome (242242).

The spelling of 101141141101 in words is "one hundred one billion, one hundred forty-one million, one hundred forty-one thousand, one hundred one".