102120100002102 has 192 divisors, whose sum is σ = 272157565800960. Its totient is φ = 24918855616512.

The previous prime is 102120100002059. The next prime is 102120100002103. The reversal of 102120100002102 is 201200001021201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120100002103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52773 + ... + 14291360.

It is an arithmetic number, because the mean of its divisors is an integer number (1417487321880).

Almost surely, 2^{102120100002102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102120100002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136078782900480).

102120100002102 is an abundant number, since it is smaller than the sum of its proper divisors (170037465798858).

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

102120100002102 is a wasteful number, since it uses less digits than its factorization.

102120100002102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14344247 (or 14344234 counting only the distinct ones).

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

Adding to 102120100002102 its reverse (201200001021201), we get a palindrome (303320101023303).

The spelling of 102120100002102 in words is "one hundred two trillion, one hundred twenty billion, one hundred million, two thousand, one hundred two".