102021202211201 has 18 divisors (see below), whose sum is σ = 128509015861782. Its totient is φ = 80720072072640.

The previous prime is 102021202211197. The next prime is 102021202211231. The reversal of 102021202211201 is 102112202120201.

It can be written as a sum of positive squares in 3 ways, for example, as 9627274756225 + 92393927454976 = 3102785^2 + 9612176^2 .

It is not a de Polignac number, because 102021202211201 - 2² = 102021202211197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102021202211201.

It is not an unprimeable number, because it can be changed into a prime (102021202211231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6159948380 + ... + 6159964941.

It is an arithmetic number, because the mean of its divisors is an integer number (7139389770099).

Almost surely, 2^{102021202211201} is an apocalyptic number.

It is an amenable number.

102021202211201 is a deficient number, since it is larger than the sum of its proper divisors (26487813650581).

102021202211201 is a wasteful number, since it uses less digits than its factorization.

102021202211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12319913361 (or 12319913341 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102021202211201 its reverse (102112202120201), we get a palindrome (204133404331402).

The spelling of 102021202211201 in words is "one hundred two trillion, twenty-one billion, two hundred two million, two hundred eleven thousand, two hundred one".