101012121 has 24 divisors (see below), whose sum is σ = 167766144. Its totient is φ = 57369600.

The previous prime is 101012089. The next prime is 101012137. The reversal of 101012121 is 121210101.

It is a happy number.

101012121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 101012121 - 2⁵ = 101012089 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 not an unprimeable number, because it can be changed into a prime (101012141) 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 23 ways as a sum of consecutive naturals, for example, 5721 + ... + 15321.

It is an arithmetic number, because the mean of its divisors is an integer number (6990256).

Almost surely, 2^101012121 is an apocalyptic number.

It is an amenable number.

101012121 is a deficient number, since it is larger than the sum of its proper divisors (66754023).

101012121 is a wasteful number, since it uses less digits than its factorization.

101012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101012121 is about 10050.4786453183. The cubic root of 101012121 is about 465.7195796102.

Adding to 101012121 its reverse (121210101), we get a palindrome (222222222).

It can be divided in two parts, 1010 and 12121, that added together give a palindrome (13131).

The spelling of 101012121 in words is "one hundred one million, twelve thousand, one hundred twenty-one".