102102320002100 has 216 divisors, whose sum is σ = 258059495114400. Its totient is φ = 34678560672000.

The previous prime is 102102320002099. The next prime is 102102320002147. The reversal of 102102320002100 is 1200023201201.

It is a happy number.

It is a super-2 number, since 2×102102320002100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104872346 + ... + 105841454.

Almost surely, 2^{102102320002100} is an apocalyptic number.

102102320002100 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 102102320002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129029747557200).

102102320002100 is an abundant number, since it is smaller than the sum of its proper divisors (155957175112300).

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

102102320002100 is a wasteful number, since it uses less digits than its factorization.

102102320002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969295 (or 969217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102102320002100 its reverse (1200023201201), we get a palindrome (103302343203301).

The spelling of 102102320002100 in words is "one hundred two trillion, one hundred two billion, three hundred twenty million, two thousand, one hundred".