100200435072741 has 48 divisors (see below), whose sum is σ = 153872419274496. Its totient is φ = 62615095538688.

The previous prime is 100200435072709. The next prime is 100200435072763. The reversal of 100200435072741 is 147270534002001.

100200435072741 is a `hidden beast` number, since 10 + 0 + 20 + 0 + 4 + 350 + 7 + 274 + 1 = 666.

It is not a de Polignac number, because 100200435072741 - 2⁵ = 100200435072709 is a prime.

It is a super-4 number, since 4×100200435072741⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100200435072696 and 100200435072705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200435072781) 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, 35696521 + ... + 38401073.

It is an arithmetic number, because the mean of its divisors is an integer number (3205675401552).

Almost surely, 2^{100200435072741} is an apocalyptic number.

It is an amenable number.

100200435072741 is a deficient number, since it is larger than the sum of its proper divisors (53671984201755).

100200435072741 is a wasteful number, since it uses less digits than its factorization.

100200435072741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705562 (or 2705559 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 100200435072741 its reverse (147270534002001), we get a palindrome (247470969074742).

The spelling of 100200435072741 in words is "one hundred trillion, two hundred billion, four hundred thirty-five million, seventy-two thousand, seven hundred forty-one".