1020102100011 has 12 divisors (see below), whose sum is σ = 1560156153192. Its totient is φ = 640064062656.

The previous prime is 1020102099869. The next prime is 1020102100027. The reversal of 1020102100011 is 1100012010201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1020102100011 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 = 1020102099966 and 1020102100002.

It is not an unprimeable number, because it can be changed into a prime (1020102100111) 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 11 ways as a sum of consecutive naturals, for example, 3333666841 + ... + 3333667146.

It is an arithmetic number, because the mean of its divisors is an integer number (130013012766).

Almost surely, 2^{1020102100011} is an apocalyptic number.

1020102100011 is a deficient number, since it is larger than the sum of its proper divisors (540054053181).

1020102100011 is a wasteful number, since it uses less digits than its factorization.

1020102100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667334010 (or 6667334007 counting only the distinct ones).

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

Adding to 1020102100011 its reverse (1100012010201), we get a palindrome (2120114110212).

The spelling of 1020102100011 in words is "one trillion, twenty billion, one hundred two million, one hundred thousand, eleven".