102013133222220 has 192 divisors, whose sum is σ = 312857591187456. Its totient is φ = 24631120235520.

The previous prime is 102013133222213. The next prime is 102013133222251. The reversal of 102013133222220 is 22222331310201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186963642 + ... + 187508478.

It is an arithmetic number, because the mean of its divisors is an integer number (1629466620768).

Almost surely, 2^{102013133222220} is an apocalyptic number.

102013133222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102013133222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156428795593728).

102013133222220 is an abundant number, since it is smaller than the sum of its proper divisors (210844457965236).

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

102013133222220 is a wasteful number, since it uses less digits than its factorization.

102013133222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546000 (or 545998 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102013133222220 its reverse (22222331310201), we get a palindrome (124235464532421).

The spelling of 102013133222220 in words is "one hundred two trillion, thirteen billion, one hundred thirty-three million, two hundred twenty-two thousand, two hundred twenty".