102101024221431 has 8 divisors (see below), whose sum is σ = 136134766955760. Its totient is φ = 68067315484032.

The previous prime is 102101024221351. The next prime is 102101024221433. The reversal of 102101024221431 is 134122420101201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102101024221431 - 2⁷ = 102101024221303 is a prime.

It is a super-3 number, since 3×102101024221431³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101024221433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384996 + ... + 14295113.

It is an arithmetic number, because the mean of its divisors is an integer number (17016845869470).

Almost surely, 2^{102101024221431} is an apocalyptic number.

102101024221431 is a deficient number, since it is larger than the sum of its proper divisors (34033742734329).

102101024221431 is a wasteful number, since it uses less digits than its factorization.

102101024221431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16998465.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102101024221431 its reverse (134122420101201), we get a palindrome (236223444322632).

The spelling of 102101024221431 in words is "one hundred two trillion, one hundred one billion, twenty-four million, two hundred twenty-one thousand, four hundred thirty-one".