102101010120011 has 32 divisors (see below), whose sum is σ = 120521925342720. Its totient is φ = 84697377912576.

The previous prime is 102101010119993. The next prime is 102101010120023. The reversal of 102101010120011 is 110021010101201.

It is a cyclic number.

It is not a de Polignac number, because 102101010120011 - 2³⁴ = 102083830250827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101010119974 and 102101010120001.

It is not an unprimeable number, because it can be changed into a prime (102101010120511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236665 + ... + 14343338.

It is an arithmetic number, because the mean of its divisors is an integer number (3766310166960).

Almost surely, 2^{102101010120011} is an apocalyptic number.

102101010120011 is a deficient number, since it is larger than the sum of its proper divisors (18420915222709).

102101010120011 is a wasteful number, since it uses less digits than its factorization.

102101010120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15580323.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101010120011 its reverse (110021010101201), we get a palindrome (212122020221212).

The spelling of 102101010120011 in words is "one hundred two trillion, one hundred one billion, ten million, one hundred twenty thousand, eleven".