101066511040 has 56 divisors (see below), whose sum is σ = 262543241232. Its totient is φ = 36751457280.

The previous prime is 101066511031. The next prime is 101066511043. The reversal of 101066511040 is 40115660101.

It is a super-3 number, since 3×101066511040³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101066510996 and 101066511014.

It is not an unprimeable number, because it can be changed into a prime (101066511043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14352519 + ... + 14359558.

Almost surely, 2^101066511040 is an apocalyptic number.

101066511040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101066511040 is an abundant number, since it is smaller than the sum of its proper divisors (161476730192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101066511040 is a wasteful number, since it uses less digits than its factorization.

101066511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28712105 (or 28712095 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 101066511040 in words is "one hundred one billion, sixty-six million, five hundred eleven thousand, forty".