102121220136 has 128 divisors (see below), whose sum is σ = 285194448000. Its totient is φ = 30256063488.

The previous prime is 102121220119. The next prime is 102121220137. The reversal of 102121220136 is 631022121201.

It is not an unprimeable number, because it can be changed into a prime (102121220137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3359775 + ... + 3390033.

It is an arithmetic number, because the mean of its divisors is an integer number (2228081625).

Almost surely, 2^102121220136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102121220136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142597224000).

102121220136 is an abundant number, since it is smaller than the sum of its proper divisors (183073227864).

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

102121220136 is a wasteful number, since it uses less digits than its factorization.

102121220136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30683 (or 30679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102121220136 its reverse (631022121201), we get a palindrome (733143341337).

The spelling of 102121220136 in words is "one hundred two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred thirty-six".