10010102100120 has 288 divisors, whose sum is σ = 34078384201680. Its totient is φ = 2548077396480.

The previous prime is 10010102100113. The next prime is 10010102100121. The reversal of 10010102100120 is 2100120101001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010102100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93452514 + ... + 93559566.

Almost surely, 2^{10010102100120} is an apocalyptic number.

10010102100120 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 10010102100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039192100840).

10010102100120 is an abundant number, since it is smaller than the sum of its proper divisors (24068282101560).

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

10010102100120 is a wasteful number, since it uses less digits than its factorization.

10010102100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107607 (or 107577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010102100120 its reverse (2100120101001), we get a palindrome (12110222201121).

The spelling of 10010102100120 in words is "ten trillion, ten billion, one hundred two million, one hundred thousand, one hundred twenty".