101540101 has 24 divisors (see below), whose sum is σ = 116159616. Its totient is φ = 88545600.

The previous prime is 101540093. The next prime is 101540113. The reversal of 101540101 is 101045101.

It is not a de Polignac number, because 101540101 - 2³ = 101540093 is a prime.

It is a super-2 number, since 2×101540101² = 20620784222180402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101540171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586851 + ... + 587023.

It is an arithmetic number, because the mean of its divisors is an integer number (4839984).

Almost surely, 2^101540101 is an apocalyptic number.

It is an amenable number.

101540101 is a deficient number, since it is larger than the sum of its proper divisors (14619515).

101540101 is a wasteful number, since it uses less digits than its factorization.

101540101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 101540101 is about 10076.7108224857. The cubic root of 101540101 is about 466.5295927912.

Adding to 101540101 its reverse (101045101), we get a palindrome (202585202).

The spelling of 101540101 in words is "one hundred one million, five hundred forty thousand, one hundred one".