101421433114001 has 32 divisors (see below), whose sum is σ = 136200871688448. Its totient is φ = 72936210032640.

The previous prime is 101421433113947. The next prime is 101421433114003. The reversal of 101421433114001 is 100411334124101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101421433114001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101421433114003) 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 31 ways as a sum of consecutive naturals, for example, 4789976 + ... + 15026201.

It is an arithmetic number, because the mean of its divisors is an integer number (4256277240264).

Almost surely, 2^{101421433114001} is an apocalyptic number.

101421433114001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101421433114001 is a deficient number, since it is larger than the sum of its proper divisors (34779438574447).

101421433114001 is a wasteful number, since it uses less digits than its factorization.

101421433114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19821321.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101421433114001 its reverse (100411334124101), we get a palindrome (201832767238102).

The spelling of 101421433114001 in words is "one hundred one trillion, four hundred twenty-one billion, four hundred thirty-three million, one hundred fourteen thousand, one".