| Base | Representation |
|---|---|
| bin | 1001001101001000000111… |
| … | …0100101001000101010000 |
| 3 | 1022211120101022210001221201 |
| 4 | 2103102001310221011100 |
| 5 | 2311311023434310000 |
| 6 | 33305325004400544 |
| 7 | 2063140546056400 |
| oct | 223220164510520 |
| 9 | 38746338701851 |
| 10 | 10121121010000 |
| 11 | 3252385a53590 |
| 12 | 117565ab46154 |
| 13 | 58555766b600 |
| 14 | 26dc172c2800 |
| 15 | 12841852e96a |
| hex | 93481d29150 |
10121121010000 has 1800 divisors, whose sum is σ = 34620880871808. Its totient is φ = 2830464000000.
The previous prime is 10121121009991. The next prime is 10121121010009. The reversal of 10121121010000 is 1012112101.
It is an interprime number because it is at equal distance from previous prime (10121121009991) and next prime (10121121010009).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10121121010009) by changing a digit.
It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 37347309865 + ... + 37347310135.
Almost surely, 210121121010000 is an apocalyptic number.
10121121010000 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 10121121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310440435904).
10121121010000 is an abundant number, since it is smaller than the sum of its proper divisors (24499759861808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10121121010000 is a wasteful number, since it uses less digits than its factorization.
10121121010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 391 (or 350 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 10.
Adding to 10121121010000 its reverse (1012112101), we get a palindrome (10122133122101).
10121121010000 divided by its reverse (1012112101) gives a 4-th power (10000 = 104).
It can be divided in two parts, 10121 and 121010000, that added together give a palindrome (121020121).
The spelling of 10121121010000 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, ten thousand".
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