101024121 has 16 divisors (see below), whose sum is σ = 154679040. Its totient is φ = 58003920.

The previous prime is 101024101. The next prime is 101024137. The reversal of 101024121 is 121420101.

It is a happy number.

It is not a de Polignac number, because 101024121 - 2⁵ = 101024089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101024097 and 101024106.

It is not an unprimeable number, because it can be changed into a prime (101024101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79935 + ... + 81188.

It is an arithmetic number, because the mean of its divisors is an integer number (9667440).

Almost surely, 2^101024121 is an apocalyptic number.

101024121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101024121 is a deficient number, since it is larger than the sum of its proper divisors (53654919).

101024121 is a wasteful number, since it uses less digits than its factorization.

101024121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161156.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101024121 is about 10051.0756140823. The cubic root of 101024121 is about 465.7380210065.

Adding to 101024121 its reverse (121420101), we get a palindrome (222444222).

The spelling of 101024121 in words is "one hundred one million, twenty-four thousand, one hundred twenty-one".