| Base | Representation |
|---|---|
| bin | 10110111111100001001110… |
| … | …001001011011100100110000 |
| 3 | 111021001011121111222200212100 |
| 4 | 112333201032021123210300 |
| 5 | 101223240344401041422 |
| 6 | 555022452025100400 |
| 7 | 30204552644215650 |
| oct | 2677411611334460 |
| 9 | 437034544880770 |
| 10 | 101122021112112 |
| 11 | 2a247676743680 |
| 12 | b412160327700 |
| 13 | 44569c5255870 |
| 14 | 1ad8490b94360 |
| 15 | ba563866e7ac |
| hex | 5bf84e25b930 |
101122021112112 has 960 divisors, whose sum is σ = 398294429524992. Its totient is φ = 23103553536000.
The previous prime is 101122021112107. The next prime is 101122021112117. The reversal of 101122021112112 is 211211120221101.
It is a happy number.
101122021112112 is a `hidden beast` number, since 10 + 11 + 220 + 211 + 1 + 211 + 2 = 666.
101122021112112 is digitally balanced in base 4, 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 (101122021112107) and next prime (101122021112117).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (101122021112117) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253926912 + ... + 254324832.
Almost surely, 2101122021112112 is an apocalyptic number.
101122021112112 is a gapful number since it is divisible by the number (12) 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 101122021112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199147214762496).
101122021112112 is an abundant number, since it is smaller than the sum of its proper divisors (297172408412880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101122021112112 is a wasteful number, since it uses less digits than its factorization.
101122021112112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 398050 (or 398041 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 101122021112112 its reverse (211211120221101), we get a palindrome (312333141333213).
The spelling of 101122021112112 in words is "one hundred one trillion, one hundred twenty-two billion, twenty-one million, one hundred twelve thousand, one hundred twelve".
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