102121213422240 has 288 divisors, whose sum is σ = 359745286957056. Its totient is φ = 26352757002240.

The previous prime is 102121213422229. The next prime is 102121213422257. The reversal of 102121213422240 is 42224312121201.

102121213422240 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 1 + 213 + 422 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×102121213422240² (a number of 29 digits) contains 22 as substring.

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, 1994802084 + ... + 1994853276.

It is an arithmetic number, because the mean of its divisors is an integer number (1249115579712).

Almost surely, 2^{102121213422240} is an apocalyptic number.

102121213422240 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 102121213422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179872643478528).

102121213422240 is an abundant number, since it is smaller than the sum of its proper divisors (257624073534816).

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

102121213422240 is a wasteful number, since it uses less digits than its factorization.

102121213422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95932 (or 95921 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102121213422240 its reverse (42224312121201), we get a palindrome (144345525543441).

The spelling of 102121213422240 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred thirteen million, four hundred twenty-two thousand, two hundred forty".