102202120000211 has 16 divisors (see below), whose sum is σ = 130384099938048. Its totient is φ = 77785968708000.

The previous prime is 102202120000199. The next prime is 102202120000231. The reversal of 102202120000211 is 112000021202201.

It is not a de Polignac number, because 102202120000211 - 2⁴² = 97804073489107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202120000231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15433720640 + ... + 15433727261.

It is an arithmetic number, because the mean of its divisors is an integer number (8149006246128).

Almost surely, 2^{102202120000211} is an apocalyptic number.

102202120000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102202120000211 is a deficient number, since it is larger than the sum of its proper divisors (28181979937837).

102202120000211 is a wasteful number, since it uses less digits than its factorization.

102202120000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30867447962.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102202120000211 its reverse (112000021202201), we get a palindrome (214202141202412).

The spelling of 102202120000211 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, two hundred eleven", and thus it is an aban number.