101002121 has 8 divisors (see below), whose sum is σ = 111276288. Its totient is φ = 90910000.

The previous prime is 101002103. The next prime is 101002127. The reversal of 101002121 is 121200101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002121 is a prime.

It is a Duffinian number.

101002121 is a modest number, since divided by 2121 gives 101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101002099 and 101002108.

It is not an unprimeable number, because it can be changed into a prime (101002127) 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 7 ways as a sum of consecutive naturals, for example, 44345 + ... + 46566.

It is an arithmetic number, because the mean of its divisors is an integer number (13909536).

Almost surely, 2^101002121 is an apocalyptic number.

101002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002121 is a deficient number, since it is larger than the sum of its proper divisors (10274167).

101002121 is a wasteful number, since it uses less digits than its factorization.

101002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91023.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101002121 is about 10049.9811442609. The cubic root of 101002121 is about 465.7042106642.

Adding to 101002121 its reverse (121200101), we get a palindrome (222202222).

It can be divided in two parts, 10100 and 2121, that added together give a palindrome (12221).

The spelling of 101002121 in words is "one hundred one million, two thousand, one hundred twenty-one".