102002120120100 has 576 divisors, whose sum is σ = 330239475820800. Its totient is φ = 24194562416640.

The previous prime is 102002120120029. The next prime is 102002120120101. The reversal of 102002120120100 is 1021021200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102002120120101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15149576334 + ... + 15149583066.

It is an arithmetic number, because the mean of its divisors is an integer number (573332423300).

Almost surely, 2^{102002120120100} is an apocalyptic number.

102002120120100 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 102002120120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165119737910400).

102002120120100 is an abundant number, since it is smaller than the sum of its proper divisors (228237355700700).

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

102002120120100 is a wasteful number, since it uses less digits than its factorization.

102002120120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9312 (or 9305 counting only the distinct ones).

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

Adding to 102002120120100 its reverse (1021021200201), we get a palindrome (103023141320301).

The spelling of 102002120120100 in words is "one hundred two trillion, two billion, one hundred twenty million, one hundred twenty thousand, one hundred".