102021201304000 has 672 divisors, whose sum is σ = 281218999501440. Its totient is φ = 36632217600000.

The previous prime is 102021201303977. The next prime is 102021201304021. The reversal of 102021201304000 is 403102120201.

It is a super-2 number, since 2×102021201304000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42920150812 + ... + 42920153188.

It is an arithmetic number, because the mean of its divisors is an integer number (418480654020).

Almost surely, 2^{102021201304000} is an apocalyptic number.

102021201304000 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 102021201304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140609499750720).

102021201304000 is an abundant number, since it is smaller than the sum of its proper divisors (179197798197440).

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

102021201304000 is a wasteful number, since it uses less digits than its factorization.

102021201304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102021201304000 its reverse (403102120201), we get a palindrome (102424303424201).

The spelling of 102021201304000 in words is "one hundred two trillion, twenty-one billion, two hundred one million, three hundred four thousand".