101032101 has 24 divisors (see below), whose sum is σ = 154440000. Its totient is φ = 63467712.

The previous prime is 101032079. The next prime is 101032121. The reversal of 101032101 is 101230101.

It is not a de Polignac number, because 101032101 - 2²¹ = 98934949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032121) 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, 32545 + ... + 35513.

It is an arithmetic number, because the mean of its divisors is an integer number (6435000).

Almost surely, 2^101032101 is an apocalyptic number.

It is an amenable number.

101032101 is a deficient number, since it is larger than the sum of its proper divisors (53407899).

101032101 is a wasteful number, since it uses less digits than its factorization.

101032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101032101 is about 10051.4725786822. The cubic root of 101032101 is about 465.7502837266.

Adding to 101032101 its reverse (101230101), we get a palindrome (202262202).

The spelling of 101032101 in words is "one hundred one million, thirty-two thousand, one hundred one".