102101020000011 has 12 divisors (see below), whose sum is σ = 147479377218888. Its totient is φ = 68067288463104.

The previous prime is 102101019999971. The next prime is 102101020000027. The reversal of 102101020000011 is 110000020101201.

It is a happy number.

It is not a de Polignac number, because 102101020000011 - 2⁷ = 102101019999883 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 102101019999948 and 102101020000002.

It is not an unprimeable number, because it can be changed into a prime (102101020000061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8071536 + ... + 16411938.

It is an arithmetic number, because the mean of its divisors is an integer number (12289948101574).

Almost surely, 2^{102101020000011} is an apocalyptic number.

102101020000011 is a deficient number, since it is larger than the sum of its proper divisors (45378357218877).

102101020000011 is a wasteful number, since it uses less digits than its factorization.

102101020000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700602 (or 9700599 counting only the distinct ones).

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

Adding to 102101020000011 its reverse (110000020101201), we get a palindrome (212101040101212).

The spelling of 102101020000011 in words is "one hundred two trillion, one hundred one billion, twenty million, eleven", and thus it is an aban number.