10102011212101 has 16 divisors (see below), whose sum is σ = 11161911379968. Its totient is φ = 9093896697600.

The previous prime is 10102011212099. The next prime is 10102011212123. The reversal of 10102011212101 is 10121211020101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10102011212101 - 2¹ = 10102011212099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102011212131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6552796 + ... + 7946266.

It is an arithmetic number, because the mean of its divisors is an integer number (697619461248).

Almost surely, 2^{10102011212101} is an apocalyptic number.

It is an amenable number.

10102011212101 is a deficient number, since it is larger than the sum of its proper divisors (1059900167867).

10102011212101 is a wasteful number, since it uses less digits than its factorization.

10102011212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412052.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10102011212101 its reverse (10121211020101), we get a palindrome (20223222232202).

The spelling of 10102011212101 in words is "ten trillion, one hundred two billion, eleven million, two hundred twelve thousand, one hundred one".