10121113101204 has 216 divisors, whose sum is σ = 30197364550080. Its totient is φ = 2849411996928.

The previous prime is 10121113101139. The next prime is 10121113101289. The reversal of 10121113101204 is 40210131112101.

It is a super-3 number, since 3×10121113101204³ (a number of 40 digits) contains 333 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 136847667 + ... + 136921605.

Almost surely, 2^{10121113101204} is an apocalyptic number.

10121113101204 is a gapful number since it is divisible by the number (14) 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 10121113101204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15098682275040).

10121113101204 is an abundant number, since it is smaller than the sum of its proper divisors (20076251448876).

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

10121113101204 is a wasteful number, since it uses less digits than its factorization.

10121113101204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75099 (or 75087 counting only the distinct ones).

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

Adding to 10121113101204 its reverse (40210131112101), we get a palindrome (50331244213305).

The spelling of 10121113101204 in words is "ten trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred one thousand, two hundred four".