| Base | Representation |
|---|---|
| bin | 10110111101111010110000… |
| … | …011100011011101111011000 |
| 3 | 111020122122122000221120010100 |
| 4 | 112331322300130123233120 |
| 5 | 101214440034241023000 |
| 6 | 554500134522415400 |
| 7 | 30163606360513140 |
| oct | 2675726034335730 |
| 9 | 436578560846110 |
| 10 | 101012001111000 |
| 11 | 2a204a49282421 |
| 12 | b3b4976961560 |
| 13 | 4449510874ba5 |
| 14 | 1ad3015085920 |
| 15 | ba2849925a00 |
| hex | 5bdeb071bbd8 |
101012001111000 has 1152 divisors, whose sum is σ = 404328256450560. Its totient is φ = 22276763712000.
The previous prime is 101012001110983. The next prime is 101012001111017. The reversal of 101012001111000 is 111100210101.
101012001111000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (101012001110983) and next prime (101012001111017).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9880851889 + ... + 9880862111.
It is an arithmetic number, because the mean of its divisors is an integer number (350979389280).
Almost surely, 2101012001111000 is an apocalyptic number.
101012001111000 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 101012001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202164128225280).
101012001111000 is an abundant number, since it is smaller than the sum of its proper divisors (303316255339560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101012001111000 is a wasteful number, since it uses less digits than its factorization.
101012001111000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10422 (or 10358 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 9.
Adding to 101012001111000 its reverse (111100210101), we get a palindrome (101123101321101).
The spelling of 101012001111000 in words is "one hundred one trillion, twelve billion, one million, one hundred eleven thousand".
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