102011002213120 has 1152 divisors, whose sum is σ = 345784096143360. Its totient is φ = 27769598115840.

The previous prime is 102011002213093. The next prime is 102011002213129. The reversal of 102011002213120 is 21312200110201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102011002213094 and 102011002213103.

It is not an unprimeable number, because it can be changed into a prime (102011002213129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23200134762 + ... + 23200139158.

It is an arithmetic number, because the mean of its divisors is an integer number (300159805680).

Almost surely, 2^{102011002213120} is an apocalyptic number.

102011002213120 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 102011002213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172892048071680).

102011002213120 is an abundant number, since it is smaller than the sum of its proper divisors (243773093930240).

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

102011002213120 is a wasteful number, since it uses less digits than its factorization.

102011002213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102011002213120 its reverse (21312200110201), we get a palindrome (123323202323321).

The spelling of 102011002213120 in words is "one hundred two trillion, eleven billion, two million, two hundred thirteen thousand, one hundred twenty".