42132414142101 has 32 divisors (see below), whose sum is σ = 59094944496000. Its totient is φ = 26665193612288.

The previous prime is 42132414142099. The next prime is 42132414142123. The reversal of 42132414142101 is 10124141423124.

It is not a de Polignac number, because 42132414142101 - 2¹ = 42132414142099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132414142141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13813320 + ... + 16585313.

It is an arithmetic number, because the mean of its divisors is an integer number (1846717015500).

Almost surely, 2^{42132414142101} is an apocalyptic number.

It is an amenable number.

42132414142101 is a deficient number, since it is larger than the sum of its proper divisors (16962530353899).

42132414142101 is a wasteful number, since it uses less digits than its factorization.

42132414142101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30398933.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 42132414142101 its reverse (10124141423124), we get a palindrome (52256555565225).

The spelling of 42132414142101 in words is "forty-two trillion, one hundred thirty-two billion, four hundred fourteen million, one hundred forty-two thousand, one hundred one".