102111122011002 has 128 divisors (see below), whose sum is σ = 223187487264000. Its totient is φ = 30958073081856.

The previous prime is 102111122011001. The next prime is 102111122011021. The reversal of 102111122011002 is 200110221111201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102111122011001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730709874 + ... + 730849602.

It is an arithmetic number, because the mean of its divisors is an integer number (1743652244250).

Almost surely, 2^{102111122011002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111122011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111593743632000).

102111122011002 is an abundant number, since it is smaller than the sum of its proper divisors (121076365252998).

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

102111122011002 is a wasteful number, since it uses less digits than its factorization.

102111122011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140400.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102111122011002 its reverse (200110221111201), we get a palindrome (302221343122203).

The spelling of 102111122011002 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-two million, eleven thousand, two".