101101001000073 has 4 divisors (see below), whose sum is σ = 134801334666768. Its totient is φ = 67400667333380.

The previous prime is 101101001000071. The next prime is 101101001000099. The reversal of 101101001000073 is 370000100101101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101101001000073 - 2¹ = 101101001000071 is a prime.

It is a super-2 number, since 2×101101001000073² (a number of 29 digits) contains 22 as substring.

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 in 3 ways as a sum of consecutive naturals, for example, 16850166833343 + ... + 16850166833348.

It is an arithmetic number, because the mean of its divisors is an integer number (33700333666692).

Almost surely, 2^{101101001000073} is an apocalyptic number.

It is an amenable number.

101101001000073 is a deficient number, since it is larger than the sum of its proper divisors (33700333666695).

101101001000073 is an equidigital number, since it uses as much as digits as its factorization.

101101001000073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33700333666694.

The product of its (nonzero) digits is 21, while the sum is 15.

Adding to 101101001000073 its reverse (370000100101101), we get a palindrome (471101101101174).

The spelling of 101101001000073 in words is "one hundred one trillion, one hundred one billion, one million, seventy-three", and thus it is an aban number.