101123242321101 has 256 divisors, whose sum is σ = 189319729987584. Its totient is φ = 46712350080000.

The previous prime is 101123242321091. The next prime is 101123242321117.

101123242321101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101123242321101 - 2⁵ = 101123242321069 is a prime.

It is a super-2 number, since 2×101123242321101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123242321201) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1357850296 + ... + 1357924766.

It is an arithmetic number, because the mean of its divisors is an integer number (739530195264).

Almost surely, 2^{101123242321101} is an apocalyptic number.

101123242321101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101123242321101 is a deficient number, since it is larger than the sum of its proper divisors (88196487666483).

101123242321101 is a wasteful number, since it uses less digits than its factorization.

101123242321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74665 (or 74643 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 101123242321101 in words is "one hundred one trillion, one hundred twenty-three billion, two hundred forty-two million, three hundred twenty-one thousand, one hundred one".