102101011010201 has 24 divisors (see below), whose sum is σ = 121486524862536. Its totient is φ = 85532193976320.

The previous prime is 102101011010129. The next prime is 102101011010209. The reversal of 102101011010201 is 102010110101201.

It can be written as a sum of positive squares in 4 ways, for example, as 5143982761225 + 96957028248976 = 2268035^2 + 9846676^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102101011010201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101011010209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108317096 + ... + 109255641.

It is an arithmetic number, because the mean of its divisors is an integer number (5061938535939).

Almost surely, 2^{102101011010201} is an apocalyptic number.

It is an amenable number.

102101011010201 is a deficient number, since it is larger than the sum of its proper divisors (19385513852335).

102101011010201 is a wasteful number, since it uses less digits than its factorization.

102101011010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217572969 (or 217572962 counting only the distinct ones).

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

Adding to 102101011010201 its reverse (102010110101201), we get a palindrome (204111121111402).

The spelling of 102101011010201 in words is "one hundred two trillion, one hundred one billion, eleven million, ten thousand, two hundred one".