10121120031000 has 1024 divisors, whose sum is σ = 37746420940800. Its totient is φ = 2231851776000.

The previous prime is 10121120030969. The next prime is 10121120031013. The reversal of 10121120031000 is 13002112101.

It is a super-3 number, since 3×10121120031000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1474733569 + ... + 1474740431.

It is an arithmetic number, because the mean of its divisors is an integer number (36861739200).

Almost surely, 2^{10121120031000} is an apocalyptic number.

10121120031000 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 10121120031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873210470400).

10121120031000 is an abundant number, since it is smaller than the sum of its proper divisors (27625300909800).

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

10121120031000 is a wasteful number, since it uses less digits than its factorization.

10121120031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7003 counting only the distinct ones).

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

Adding to 10121120031000 its reverse (13002112101), we get a palindrome (10134122143101).

The spelling of 10121120031000 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, thirty-one thousand".