102111020000001 has 24 divisors (see below), whose sum is σ = 149914090718184. Its totient is φ = 66956944584960.

The previous prime is 102111019999973. The next prime is 102111020000053. The reversal of 102111020000001 is 100000020111201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3334454950401 + 98776565049600 = 1826049^2 + 9938640^2 .

It is not a de Polignac number, because 102111020000001 - 2⁷ = 102111019999873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102111020000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32570715 + ... + 35567871.

It is an arithmetic number, because the mean of its divisors is an integer number (6246420446591).

Almost surely, 2^{102111020000001} is an apocalyptic number.

It is an amenable number.

102111020000001 is a deficient number, since it is larger than the sum of its proper divisors (47803070718183).

102111020000001 is a wasteful number, since it uses less digits than its factorization.

102111020000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059281 (or 3059278 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102111020000001 its reverse (100000020111201), we get a palindrome (202111040111202).

The spelling of 102111020000001 in words is "one hundred two trillion, one hundred eleven billion, twenty million, one", and thus it is an aban number.