102111021000001 has 8 divisors (see below), whose sum is σ = 110341024534440. Its totient is φ = 93934633124352.

The previous prime is 102111020999947. The next prime is 102111021000049. The reversal of 102111021000001 is 100000120111201.

It can be written as a sum of positive squares in 4 ways, for example, as 9788613512976 + 92322407487025 = 3128676^2 + 9608455^2 .

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 102111021000001 - 2¹⁷ = 102111020868929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111021001001) 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, 13403910736 + ... + 13403918353.

It is an arithmetic number, because the mean of its divisors is an integer number (13792628066805).

Almost surely, 2^{102111021000001} is an apocalyptic number.

It is an amenable number.

102111021000001 is a deficient number, since it is larger than the sum of its proper divisors (8230003534439).

102111021000001 is a wasteful number, since it uses less digits than its factorization.

102111021000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26807829395.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102111021000001 its reverse (100000120111201), we get a palindrome (202111141111202).

The spelling of 102111021000001 in words is "one hundred two trillion, one hundred eleven billion, twenty-one million, one", and thus it is an aban number.