102122002021001 has 8 divisors (see below), whose sum is σ = 103133392196808. Its totient is φ = 101110617360000.

The previous prime is 102122002020923. The next prime is 102122002021003. The reversal of 102122002021001 is 100120200221201.

It can be written as a sum of positive squares in 4 ways, for example, as 4863352500601 + 97258649520400 = 2205301^2 + 9861980^2 .

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 102122002021001 - 2³⁰ = 102120928279177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122002021003) 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, 42822671 + ... + 45144491.

It is an arithmetic number, because the mean of its divisors is an integer number (12891674024601).

Almost surely, 2^{102122002021001} is an apocalyptic number.

It is an amenable number.

102122002021001 is a deficient number, since it is larger than the sum of its proper divisors (1011390175807).

102122002021001 is a wasteful number, since it uses less digits than its factorization.

102122002021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757403.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122002021001 its reverse (100120200221201), we get a palindrome (202242202242202).

The spelling of 102122002021001 in words is "one hundred two trillion, one hundred twenty-two billion, two million, twenty-one thousand, one".