102002033100 has 144 divisors (see below), whose sum is σ = 322145631360. Its totient is φ = 24713164800.

The previous prime is 102002033099. The next prime is 102002033137. The reversal of 102002033100 is 1330200201.

It is a happy number.

It is a super-2 number, since 2×102002033100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6225519 + ... + 6241881.

It is an arithmetic number, because the mean of its divisors is an integer number (2237122440).

Almost surely, 2^102002033100 is an apocalyptic number.

102002033100 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 102002033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161072815680).

102002033100 is an abundant number, since it is smaller than the sum of its proper divisors (220143598260).

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

102002033100 is a wasteful number, since it uses less digits than its factorization.

102002033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18280 (or 18273 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102002033100 its reverse (1330200201), we get a palindrome (103332233301).

The spelling of 102002033100 in words is "one hundred two billion, two million, thirty-three thousand, one hundred".