10102010321000 has 256 divisors, whose sum is σ = 25651111449600. Its totient is φ = 3723651360000.

The previous prime is 10102010320973. The next prime is 10102010321017. The reversal of 10102010321000 is 12301020101.

It is a super-2 number, since 2×10102010321000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1412667425 + ... + 1412674575.

It is an arithmetic number, because the mean of its divisors is an integer number (100199654100).

Almost surely, 2^{10102010321000} is an apocalyptic number.

10102010321000 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 10102010321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825555724800).

10102010321000 is an abundant number, since it is smaller than the sum of its proper divisors (15549101128600).

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

10102010321000 is an equidigital number, since it uses as much as digits as its factorization.

10102010321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7854 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10102010321000 its reverse (12301020101), we get a palindrome (10114311341101).

The spelling of 10102010321000 in words is "ten trillion, one hundred two billion, ten million, three hundred twenty-one thousand".