102011002101 has 16 divisors (see below), whose sum is σ = 151132329600. Its totient is φ = 68005121184.

The previous prime is 102011002087. The next prime is 102011002129. The reversal of 102011002101 is 101200110201.

It is a happy number.

It is not a de Polignac number, because 102011002101 - 2¹¹ = 102011000053 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011002601) 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 15 ways as a sum of consecutive naturals, for example, 1585185 + ... + 1648281.

It is an arithmetic number, because the mean of its divisors is an integer number (9445770600).

Almost surely, 2^102011002101 is an apocalyptic number.

It is an amenable number.

102011002101 is a deficient number, since it is larger than the sum of its proper divisors (49121327499).

102011002101 is an equidigital number, since it uses as much as digits as its factorization.

102011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122985 (or 122979 counting only the distinct ones).

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

Adding to 102011002101 its reverse (101200110201), we get a palindrome (203211112302).

The spelling of 102011002101 in words is "one hundred two billion, eleven million, two thousand, one hundred one".