101024101420101 has 96 divisors (see below), whose sum is σ = 157763897491200. Its totient is φ = 62084978703360.

The previous prime is 101024101419991. The next prime is 101024101420163.

101024101420101 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 241 + 0 + 1 + 420 + 1 + 0 + 1 = 666.

101024101420101 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-101024101420101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024101425101) 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 95 ways as a sum of consecutive naturals, for example, 16734153255 + ... + 16734159291.

It is an arithmetic number, because the mean of its divisors is an integer number (1643373932200).

Almost surely, 2^{101024101420101} is an apocalyptic number.

It is an amenable number.

101024101420101 is a deficient number, since it is larger than the sum of its proper divisors (56739796071099).

101024101420101 is a wasteful number, since it uses less digits than its factorization.

101024101420101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 10102410 and 1420101, that added together give a palindrome (11522511).

The spelling of 101024101420101 in words is "one hundred one trillion, twenty-four billion, one hundred one million, four hundred twenty thousand, one hundred one".