101002000221121 has 8 divisors (see below), whose sum is σ = 104276216511488. Its totient is φ = 97728789384000.

The previous prime is 101002000221091. The next prime is 101002000221131. The reversal of 101002000221121 is 121122000200101.

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

It is a cyclic number.

It is not a de Polignac number, because 101002000221121 - 2¹³ = 101002000212929 is a prime.

It is a super-3 number, since 3×101002000221121³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002000221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251159145 + ... + 251560966.

It is an arithmetic number, because the mean of its divisors is an integer number (13034527063936).

Almost surely, 2^{101002000221121} is an apocalyptic number.

It is an amenable number.

101002000221121 is a deficient number, since it is larger than the sum of its proper divisors (3274216290367).

101002000221121 is an equidigital number, since it uses as much as digits as its factorization.

101002000221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502726623.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101002000221121 its reverse (121122000200101), we get a palindrome (222124000421222).

The spelling of 101002000221121 in words is "one hundred one trillion, two billion, two hundred twenty-one thousand, one hundred twenty-one".