101201132123 has 36 divisors (see below), whose sum is σ = 128321828208. Its totient is φ = 79539969600.

The previous prime is 101201132059. The next prime is 101201132147. The reversal of 101201132123 is 321231102101.

It is not a de Polignac number, because 101201132123 - 2⁶ = 101201132059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101201132173) 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 35 ways as a sum of consecutive naturals, for example, 1209965 + ... + 1290897.

It is an arithmetic number, because the mean of its divisors is an integer number (3564495228).

Almost surely, 2^101201132123 is an apocalyptic number.

101201132123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101201132123 is a deficient number, since it is larger than the sum of its proper divisors (27120696085).

101201132123 is a wasteful number, since it uses less digits than its factorization.

101201132123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81124 (or 81104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101201132123 its reverse (321231102101), we get a palindrome (422432234224).

The spelling of 101201132123 in words is "one hundred one billion, two hundred one million, one hundred thirty-two thousand, one hundred twenty-three".