102021122401 has 16 divisors (see below), whose sum is σ = 111716998848. Its totient is φ = 92395691200.

The previous prime is 102021122389. The next prime is 102021122429. The reversal of 102021122401 is 104221120201.

It is a cyclic number.

It is not a de Polignac number, because 102021122401 - 2¹⁵ = 102021089633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102021122461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13568295 + ... + 13575811.

It is an arithmetic number, because the mean of its divisors is an integer number (6982312428).

Almost surely, 2^102021122401 is an apocalyptic number.

102021122401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102021122401 is a deficient number, since it is larger than the sum of its proper divisors (9695876447).

102021122401 is a wasteful number, since it uses less digits than its factorization.

102021122401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102021122401 its reverse (104221120201), we get a palindrome (206242242602).

It can be divided in two parts, 102021 and 122401, that added together give a palindrome (224422).

The spelling of 102021122401 in words is "one hundred two billion, twenty-one million, one hundred twenty-two thousand, four hundred one".