102000000002120 has 128 divisors (see below), whose sum is σ = 253546820524800. Its totient is φ = 36621372288000.

The previous prime is 102000000002093. The next prime is 102000000002123. The reversal of 102000000002120 is 21200000000201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 102000000002098 and 102000000002107.

It is not an unprimeable number, because it can be changed into a prime (102000000002123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12757262 + ... + 19150658.

It is an arithmetic number, because the mean of its divisors is an integer number (1980834535350).

Almost surely, 2^{102000000002120} is an apocalyptic number.

102000000002120 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 102000000002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126773410262400).

102000000002120 is an abundant number, since it is smaller than the sum of its proper divisors (151546820522680).

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

102000000002120 is a wasteful number, since it uses less digits than its factorization.

102000000002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393879 (or 6393875 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102000000002120 its reverse (21200000000201), we get a palindrome (123200000002321).

The spelling of 102000000002120 in words is "one hundred two trillion, two thousand, one hundred twenty".