103132132101 has 48 divisors (see below), whose sum is σ = 159708856320. Its totient is φ = 64016952480.

The previous prime is 103132132091. The next prime is 103132132127. The reversal of 103132132101 is 101231231301.

103132132101 is a `hidden beast` number, since 10 + 313 + 21 + 321 + 0 + 1 = 666.

It is not a de Polignac number, because 103132132101 - 2¹⁸ = 103131869957 is a prime.

It is a super-2 number, since 2×103132132101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132132171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707016 + ... + 840318.

It is an arithmetic number, because the mean of its divisors is an integer number (3327267840).

Almost surely, 2^103132132101 is an apocalyptic number.

It is an amenable number.

103132132101 is a deficient number, since it is larger than the sum of its proper divisors (56576724219).

103132132101 is a wasteful number, since it uses less digits than its factorization.

103132132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133446 (or 133443 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103132132101 its reverse (101231231301), we get a palindrome (204363363402).

The spelling of 103132132101 in words is "one hundred three billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred one".