102100010002211 has 24 divisors (see below), whose sum is σ = 110646998025696. Its totient is φ = 94170320375040.

The previous prime is 102100010002139. The next prime is 102100010002213. The reversal of 102100010002211 is 112200010001201.

It is not a de Polignac number, because 102100010002211 - 2³⁴ = 102082830133027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100010002192 and 102100010002201.

It is not an unprimeable number, because it can be changed into a prime (102100010002213) 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, 1365648071 + ... + 1365722831.

It is an arithmetic number, because the mean of its divisors is an integer number (4610291584404).

Almost surely, 2^{102100010002211} is an apocalyptic number.

102100010002211 is a deficient number, since it is larger than the sum of its proper divisors (8546988023485).

102100010002211 is a wasteful number, since it uses less digits than its factorization.

102100010002211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81183 (or 81170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100010002211 its reverse (112200010001201), we get a palindrome (214300020003412).

The spelling of 102100010002211 in words is "one hundred two trillion, one hundred billion, ten million, two thousand, two hundred eleven".