100142123301 has 48 divisors (see below), whose sum is σ = 162187945920. Its totient is φ = 59006914560.

The previous prime is 100142123287. The next prime is 100142123309. The reversal of 100142123301 is 103321241001.

100142123301 is a `hidden beast` number, since 10 + 0 + 1 + 421 + 233 + 0 + 1 = 666.

It is not a de Polignac number, because 100142123301 - 2⁷ = 100142123173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100142123309) 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 47 ways as a sum of consecutive naturals, for example, 5151466 + ... + 5170868.

It is an arithmetic number, because the mean of its divisors is an integer number (3378915540).

Almost surely, 2^100142123301 is an apocalyptic number.

100142123301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100142123301 is a deficient number, since it is larger than the sum of its proper divisors (62045822619).

100142123301 is a wasteful number, since it uses less digits than its factorization.

100142123301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20866 (or 20863 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100142123301 its reverse (103321241001), we get a palindrome (203463364302).

The spelling of 100142123301 in words is "one hundred billion, one hundred forty-two million, one hundred twenty-three thousand, three hundred one".