101210221121130 has 320 divisors, whose sum is σ = 314601742616832. Its totient is φ = 23073817282560.

The previous prime is 101210221121129. The next prime is 101210221121137. The reversal of 101210221121130 is 31121122012101.

It is a happy number.

101210221121130 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 2 + 211 + 211 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101210221121137) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 187098307 + ... + 187638473.

Almost surely, 2^{101210221121130} is an apocalyptic number.

101210221121130 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 101210221121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157300871308416).

101210221121130 is an abundant number, since it is smaller than the sum of its proper divisors (213391521495702).

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

101210221121130 is a wasteful number, since it uses less digits than its factorization.

101210221121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541451 (or 541442 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101210221121130 its reverse (31121122012101), we get a palindrome (132331343133231).

The spelling of 101210221121130 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty".