102201122002120 has 16 divisors (see below), whose sum is σ = 229952524504860. Its totient is φ = 40880448800832.

The previous prime is 102201122002039. The next prime is 102201122002121. The reversal of 102201122002120 is 21200221102201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94506279016356 + 7694842985764 = 9721434^2 + 2773958^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102201122002094 and 102201122002103.

It is not an unprimeable number, because it can be changed into a prime (102201122002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277514024987 + ... + 1277514025066.

Almost surely, 2^{102201122002120} is an apocalyptic number.

102201122002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201122002120 is an abundant number, since it is smaller than the sum of its proper divisors (127751402502740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201122002120 is a wasteful number, since it uses less digits than its factorization.

102201122002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555028050064 (or 2555028050060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102201122002120 its reverse (21200221102201), we get a palindrome (123401343104321).

The spelling of 102201122002120 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-two million, two thousand, one hundred twenty".