10101212123130 has 96 divisors (see below), whose sum is σ = 26631376658640. Its totient is φ = 2655913328640.

The previous prime is 10101212123111. The next prime is 10101212123141. The reversal of 10101212123130 is 3132121210101.

10101212123130 is a `hidden beast` number, since 10 + 10 + 121 + 212 + 313 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3645583054281 + 6455629068849 = 1909341^2 + 2540793^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20577750 + ... + 21062910.

Almost surely, 2^{10101212123130} is an apocalyptic number.

10101212123130 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 10101212123130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315688329320).

10101212123130 is an abundant number, since it is smaller than the sum of its proper divisors (16530164535510).

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

10101212123130 is a wasteful number, since it uses less digits than its factorization.

10101212123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488416 (or 488413 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10101212123130 its reverse (3132121210101), we get a palindrome (13233333333231).

The spelling of 10101212123130 in words is "ten trillion, one hundred one billion, two hundred twelve million, one hundred twenty-three thousand, one hundred thirty".