10130220210000 has 400 divisors, whose sum is σ = 36027915726528. Its totient is φ = 2431488000000.

The previous prime is 10130220209969. The next prime is 10130220210043. The reversal of 10130220210000 is 1202203101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33178032 + ... + 33481968.

Almost surely, 2^{10130220210000} is an apocalyptic number.

10130220210000 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 10130220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013957863264).

10130220210000 is an abundant number, since it is smaller than the sum of its proper divisors (25897695516528).

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

10130220210000 is a wasteful number, since it uses less digits than its factorization.

10130220210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304080 (or 304059 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10130220210000 its reverse (1202203101), we get a palindrome (10131422413101).

It can be divided in two parts, 101302 and 20210000, that added together give a palindrome (20311302).

The spelling of 10130220210000 in words is "ten trillion, one hundred thirty billion, two hundred twenty million, two hundred ten thousand".