| Base | Representation |
|---|---|
| bin | 10110111111100000011000… |
| … | …011111110100000101010000 |
| 3 | 111021001002021210021202220002 |
| 4 | 112333200120133310011100 |
| 5 | 101223232023434310000 |
| 6 | 555022222432505132 |
| 7 | 30204521434403360 |
| oct | 2677403037640520 |
| 9 | 437032253252802 |
| 10 | 101121121010000 |
| 11 | 2a247254651633 |
| 12 | b411b4a9ab1a8 |
| 13 | 44568b0924870 |
| 14 | 1ad840740c9a0 |
| 15 | ba55d46228d5 |
| hex | 5bf8187f4150 |
101121121010000 has 400 divisors, whose sum is σ = 305136695001600. Its totient is φ = 31598042112000.
The previous prime is 101121121009933. The next prime is 101121121010029. The reversal of 101121121010000 is 10121121101.
It is a tau number, because it is divible by the number of its divisors (400).
It is a super-2 number, since 2×1011211210100002 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71186696 + ... + 72593304.
It is an arithmetic number, because the mean of its divisors is an integer number (762841737504).
Almost surely, 2101121121010000 is an apocalyptic number.
101121121010000 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 101121121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152568347500800).
101121121010000 is an abundant number, since it is smaller than the sum of its proper divisors (204015573991600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101121121010000 is a wasteful number, since it uses less digits than its factorization.
101121121010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1406736 (or 1406715 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 11.
Adding to 101121121010000 its reverse (10121121101), we get a palindrome (101131242131101).
It can be divided in two parts, 101121 and 121010000, that added together give a palindrome (121111121).
The spelling of 101121121010000 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, ten thousand".
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