101201001101123 has 16 divisors (see below), whose sum is σ = 126173076486144. Its totient is φ = 78857673068160.

The previous prime is 101201001101111. The next prime is 101201001101143. The reversal of 101201001101123 is 321101100102101.

It is not a de Polignac number, because 101201001101123 - 2⁴² = 96802954590019 is a prime.

It is a super-2 number, since 2×101201001101123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201001101098 and 101201001101107.

It is not an unprimeable number, because it can be changed into a prime (101201001101143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24579086 + ... + 28399532.

It is an arithmetic number, because the mean of its divisors is an integer number (7885817280384).

Almost surely, 2^{101201001101123} is an apocalyptic number.

101201001101123 is a deficient number, since it is larger than the sum of its proper divisors (24972075385021).

101201001101123 is a wasteful number, since it uses less digits than its factorization.

101201001101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164482.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101201001101123 its reverse (321101100102101), we get a palindrome (422302101203224).

The spelling of 101201001101123 in words is "one hundred one trillion, two hundred one billion, one million, one hundred one thousand, one hundred twenty-three".