101241142101 has 24 divisors (see below), whose sum is σ = 166467652416. Its totient is φ = 58690515840.

The previous prime is 101241142081. The next prime is 101241142103.

101241142101 is a `hidden beast` number, since 1 + 0 + 1 + 241 + 1 + 421 + 0 + 1 = 666.

101241142101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101241142101 - 2¹⁷ = 101241011029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101241142103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22228980 + ... + 22233533.

It is an arithmetic number, because the mean of its divisors is an integer number (6936152184).

Almost surely, 2^101241142101 is an apocalyptic number.

101241142101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101241142101 is a deficient number, since it is larger than the sum of its proper divisors (65226510315).

101241142101 is a wasteful number, since it uses less digits than its factorization.

101241142101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44462553 (or 44462550 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 101241 and 142101, that added together give a palindrome (243342).

The spelling of 101241142101 in words is "one hundred one billion, two hundred forty-one million, one hundred forty-two thousand, one hundred one".