10301002010010 has 192 divisors, whose sum is σ = 27987739232544. Its totient is φ = 2626023628800.

The previous prime is 10301002010009. The next prime is 10301002010029. The reversal of 10301002010010 is 1001020010301.

10301002010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 1707655673529 + 8593346336481 = 1306773^2 + 2931441^2 .

It is a super-2 number, since 2×10301002010010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10301002009974 and 10301002010001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190305750 + ... + 190359870.

Almost surely, 2^{10301002010010} is an apocalyptic number.

10301002010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301002010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993869616272).

10301002010010 is an abundant number, since it is smaller than the sum of its proper divisors (17686737222534).

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

10301002010010 is a wasteful number, since it uses less digits than its factorization.

10301002010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55169 (or 55166 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10301002010010 its reverse (1001020010301), we get a palindrome (11302022020311).

The spelling of 10301002010010 in words is "ten trillion, three hundred one billion, two million, ten thousand, ten".