101421343124101 has 48 divisors (see below), whose sum is σ = 140396564758912. Its totient is φ = 71253894983040.

The previous prime is 101421343124083. The next prime is 101421343124147.

101421343124101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101421343124101 - 2¹⁷ = 101421342993029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101421343124101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101421343124401) 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, 106630146 + ... + 107577091.

Almost surely, 2^{101421343124101} is an apocalyptic number.

101421343124101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101421343124101 is a deficient number, since it is larger than the sum of its proper divisors (38975221634811).

101421343124101 is a wasteful number, since it uses less digits than its factorization.

101421343124101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214207322 (or 214207311 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 101421343124101 in words is "one hundred one trillion, four hundred twenty-one billion, three hundred forty-three million, one hundred twenty-four thousand, one hundred one".