101430330403401 has 24 divisors (see below), whose sum is σ = 150480426462600. Its totient is φ = 65788183950336.

The previous prime is 101430330403399. The next prime is 101430330403417. The reversal of 101430330403401 is 104304033034101.

101430330403401 is a `hidden beast` number, since 1 + 0 + 14 + 3 + 0 + 3 + 304 + 0 + 340 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8842154227776 + 92588176175625 = 2973576^2 + 9622275^2 .

It is not a de Polignac number, because 101430330403401 - 2¹ = 101430330403399 is a prime.

It is a super-2 number, since 2×101430330403401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101430335403401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5410426 + ... + 15235923.

It is an arithmetic number, because the mean of its divisors is an integer number (6270017769275).

Almost surely, 2^{101430330403401} is an apocalyptic number.

It is an amenable number.

101430330403401 is a deficient number, since it is larger than the sum of its proper divisors (49050096059199).

101430330403401 is a wasteful number, since it uses less digits than its factorization.

101430330403401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20661145 (or 20661142 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 101430330403401 its reverse (104304033034101), we get a palindrome (205734363437502).

The spelling of 101430330403401 in words is "one hundred one trillion, four hundred thirty billion, three hundred thirty million, four hundred three thousand, four hundred one".