102000202122240 has 528 divisors, whose sum is σ = 364805387731200. Its totient is φ = 26331840184320.

The previous prime is 102000202122199. The next prime is 102000202122241. The reversal of 102000202122240 is 42221202000201.

102000202122240 is a `hidden beast` number, since 1 + 0 + 200 + 0 + 202 + 1 + 22 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102000202122241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339136725 + ... + 339437355.

Almost surely, 2^{102000202122240} is an apocalyptic number.

102000202122240 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 102000202122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182402693865600).

102000202122240 is an abundant number, since it is smaller than the sum of its proper divisors (262805185608960).

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

102000202122240 is a wasteful number, since it uses less digits than its factorization.

102000202122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300898 (or 300877 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102000202122240 its reverse (42221202000201), we get a palindrome (144221404122441).

The spelling of 102000202122240 in words is "one hundred two trillion, two hundred two million, one hundred twenty-two thousand, two hundred forty".