100771431624381 has 48 divisors (see below), whose sum is σ = 158786325740544. Its totient is φ = 56670577399296.

The previous prime is 100771431624337. The next prime is 100771431624403. The reversal of 100771431624381 is 183426134177001.

It is not a de Polignac number, because 100771431624381 - 2¹³ = 100771431616189 is a prime.

It is a super-2 number, since 2×100771431624381² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100771431624381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100771431624581) 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, 5370205 + ... + 15178338.

It is an arithmetic number, because the mean of its divisors is an integer number (3308048452928).

Almost surely, 2^{100771431624381} is an apocalyptic number.

It is an amenable number.

100771431624381 is a deficient number, since it is larger than the sum of its proper divisors (58014894116163).

100771431624381 is a wasteful number, since it uses less digits than its factorization.

100771431624381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20549090 (or 20549083 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 100771431624381 in words is "one hundred trillion, seven hundred seventy-one billion, four hundred thirty-one million, six hundred twenty-four thousand, three hundred eighty-one".