102010020232000 has 224 divisors, whose sum is σ = 254156065057440. Its totient is φ = 40557404160000.

The previous prime is 102010020231881. The next prime is 102010020232007. The reversal of 102010020232000 is 232020010201.

It can be written as a sum of positive squares in 16 ways, for example, as 67299446733376 + 34710573498624 = 8203624^2 + 5891568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010020232007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2937974640 + ... + 2938009360.

It is an arithmetic number, because the mean of its divisors is an integer number (1134625290435).

Almost surely, 2^{102010020232000} is an apocalyptic number.

102010020232000 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 102010020232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127078032528720).

102010020232000 is an abundant number, since it is smaller than the sum of its proper divisors (152146044825440).

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

102010020232000 is a wasteful number, since it uses less digits than its factorization.

102010020232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36958 (or 36938 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102010020232000 its reverse (232020010201), we get a palindrome (102242040242201).

It can be divided in two parts, 1020100 and 20232000, that added together give a square (21252100 = 4610²).

The spelling of 102010020232000 in words is "one hundred two trillion, ten billion, twenty million, two hundred thirty-two thousand".