102021111012001 has 8 divisors (see below), whose sum is σ = 102254563593000. Its totient is φ = 101787686138880.

The previous prime is 102021111011959. The next prime is 102021111012031. The reversal of 102021111012001 is 100210111120201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4386930250000 + 97634180762001 = 2094500^2 + 9881001^2 .

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 102021111012001 - 2¹⁵ = 102021110979233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102021111012031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454495 + ... + 14291563.

It is an arithmetic number, because the mean of its divisors is an integer number (12781820449125).

Almost surely, 2^{102021111012001} is an apocalyptic number.

It is an amenable number.

102021111012001 is a deficient number, since it is larger than the sum of its proper divisors (233452580999).

102021111012001 is a wasteful number, since it uses less digits than its factorization.

102021111012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13853939.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102021111012001 its reverse (100210111120201), we get a palindrome (202231222132202).

The spelling of 102021111012001 in words is "one hundred two trillion, twenty-one billion, one hundred eleven million, twelve thousand, one".