102120011002002 has 128 divisors (see below), whose sum is σ = 260169101660160. Its totient is φ = 26014161346560.

The previous prime is 102120011001997. The next prime is 102120011002033. The reversal of 102120011002002 is 200200110021201.

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, 270140802 + ... + 270518562.

It is an arithmetic number, because the mean of its divisors is an integer number (2032571106720).

Almost surely, 2^{102120011002002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120011002002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130084550830080).

102120011002002 is an abundant number, since it is smaller than the sum of its proper divisors (158049090658158).

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

102120011002002 is a wasteful number, since it uses less digits than its factorization.

102120011002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397736.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102120011002002 its reverse (200200110021201), we get a palindrome (302320121023203).

The spelling of 102120011002002 in words is "one hundred two trillion, one hundred twenty billion, eleven million, two thousand, two".