102201010102211 has 32 divisors (see below), whose sum is σ = 107253966716928. Its totient is φ = 97200714441600.

The previous prime is 102201010102183. The next prime is 102201010102223. The reversal of 102201010102211 is 112201010102201.

It is not a de Polignac number, because 102201010102211 - 2²² = 102201005907907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102201010102511) 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, 5144249900 + ... + 5144269766.

It is an arithmetic number, because the mean of its divisors is an integer number (3351686459904).

Almost surely, 2^{102201010102211} is an apocalyptic number.

102201010102211 is a deficient number, since it is larger than the sum of its proper divisors (5052956614717).

102201010102211 is a wasteful number, since it uses less digits than its factorization.

102201010102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21971.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102201010102211 its reverse (112201010102201), we get a palindrome (214402020204412).

The spelling of 102201010102211 in words is "one hundred two trillion, two hundred one billion, ten million, one hundred two thousand, two hundred eleven".