101101001000072 has 8 divisors (see below), whose sum is σ = 189564376875150. Its totient is φ = 50550500500032.

The previous prime is 101101001000071. The next prime is 101101001000099. The reversal of 101101001000072 is 270000100101101.

It can be written as a sum of positive squares in only one way, i.e., 51544272560356 + 49556728439716 = 7179434^2 + 7039654^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (101101001000071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6318812562497 + ... + 6318812562512.

Almost surely, 2^{101101001000072} is an apocalyptic number.

It is an amenable number.

101101001000072 is a deficient number, since it is larger than the sum of its proper divisors (88463375875078).

101101001000072 is a wasteful number, since it uses less digits than its factorization.

101101001000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12637625125015 (or 12637625125011 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 101101001000072 its reverse (270000100101101), we get a palindrome (371101101101173).

The spelling of 101101001000072 in words is "one hundred one trillion, one hundred one billion, one million, seventy-two", and thus it is an aban number.